Open Access. Powered by Scholars. Published by Universities.®
- Discipline
-
- Mechanical Engineering (47)
- Aerospace Engineering (22)
- Mechanics of Materials (20)
- Materials Science and Engineering (17)
- Applied Mechanics (9)
-
- Physical Sciences and Mathematics (9)
- Aerodynamics and Fluid Mechanics (6)
- Physics (6)
- Structures and Materials (6)
- Fluid Dynamics (5)
- Structural Materials (5)
- Applied Mathematics (3)
- Dynamics and Dynamical Systems (3)
- Systems Engineering and Multidisciplinary Design Optimization (3)
- Heat Transfer, Combustion (2)
- Numerical Analysis and Computation (2)
- Polymer and Organic Materials (2)
- Space Vehicles (2)
- Aeronautical Vehicles (1)
- Analysis (1)
- Chemical Engineering (1)
- Computational Engineering (1)
- Computer Engineering (1)
- Computer-Aided Engineering and Design (1)
- Electrical and Computer Engineering (1)
- Electromagnetics and Photonics (1)
- Mathematics (1)
- Keyword
-
- Finite element method (11)
- Composite materials (9)
- Structural analysis (5)
- Plates (4)
- Space frame structures (4)
-
- Buckling (3)
- Eigenvectors (3)
- Fracture mechanics (3)
- Laminated materials (3)
- Structural dynamics (3)
- Thermal analysis (3)
- Vibration (3)
- Adhesive joints (2)
- Analytic mechanics (2)
- Automatic control (2)
- Bolted joints (2)
- Boundary value problems (2)
- Composite construction (2)
- Damping (Mechanics) (2)
- Eigenvalues (2)
- Engineering design (2)
- Equations of motion (2)
- Fluid dynamics (2)
- Flutter (2)
- Magnetic suspension (2)
- Mathematical optimization (2)
- Metals (2)
- Modal analysis (2)
- Piezoelectric materials (2)
- Polymeric composites (2)
Articles 31 - 60 of 93
Full-Text Articles in Engineering Mechanics
Stress Fields In Composites With A Variable Interphase Under Thermo-Mechanical Loadings, Nianfeng Chen
Stress Fields In Composites With A Variable Interphase Under Thermo-Mechanical Loadings, Nianfeng Chen
Mechanical & Aerospace Engineering Theses & Dissertations
An interphase in a composite material has a important role for the composite performance. It influences directly or indirectly the strength, fatigue performance and effective properties of the composite. Recently, interphase has drawn increasing attention in composite mechanics. To the best of our knowledge, however, no one seems to have considered the effect of the variable material prope1ty in the interphase on the stress field in the composite material. In this research, the stress fields are determined in the continuous fiber composite and the particulate composite by using the four concentric circular cylinders model and the four phase spheres model, …
Investigation Of Computational And Spectral Analysis Methods For Aeroacoustic Wave Propagation, Florence Odile Vanel
Investigation Of Computational And Spectral Analysis Methods For Aeroacoustic Wave Propagation, Florence Odile Vanel
Mechanical & Aerospace Engineering Theses & Dissertations
Most computational fluid dynamics (CFD) schemes are not adequately accurate for solving aeroacoustics problems, which have wave amplitudes several orders of magnitude smaller yet with frequencies larger than the flow field variations generating the sound. Hence, a computational aeroacoustics (CAA) algorithm should have minimal dispersion and dissipation features. A dispersion relation preserving (DRP) scheme is, therefore, applied to solve the linearized Euler equations in order to simulate the propagation of three types of waves, namely: acoustic, vorticity, and entropy waves. The scheme is derived using an optimization procedure to ensure that the numerical derivatives preserve the wave number and angular …
An Experimental And Analytical Investigation Of The Iosipescu Shear Test For Composite Materials, Barry Stuart Spigel
An Experimental And Analytical Investigation Of The Iosipescu Shear Test For Composite Materials, Barry Stuart Spigel
Mechanical & Aerospace Engineering Theses & Dissertations
Mechanical properties of composite materials under shear loading are difficult to determine. The Iosipescu Shear test, originally proposed for metals, has in recent years been applied to composites. It has the advantages of small specimen size, simple loading and a reasonably uniform shear stress in the test section.
The purpose of this work is to study the validity of the Iosipescu test method for measuring the shear modulus and shear strength of composites. Finite element analyses indicate that optimum specimen geometry and load locations depend upon the degree of orthotropy of the composite. Test results for a quasi-isotropic graphite/epoxy laminate …
A Direct Numerical Simulation Of Vortex Breakdown Induced Tail Buffet, Steven James Massey
A Direct Numerical Simulation Of Vortex Breakdown Induced Tail Buffet, Steven James Massey
Mechanical & Aerospace Engineering Theses & Dissertations
A simulation of tail buffet is presented for a delta wing-vertical tail configuration. Flow conditions are chosen such that the wing primary-vortex cores experience vortex breakdown and the resulting turbulent wake flow impinges on the vertical tail. The dimensions and material properties of the vertical tail are chosen such that the deflections are large enough to insure interaction with the flow, and the natural frequencies are high enough to facilitate a practical computational solution. This multidisciplinary problem is solved sequentially for the fiuid flow, the elastic deformations and the grid displacements. The fluid flow is simulated by time accurately solving …
Transverse Stress Effects For Laminated Composite Beams In Bending, Christine Chatterton Schleicher
Transverse Stress Effects For Laminated Composite Beams In Bending, Christine Chatterton Schleicher
Mechanical & Aerospace Engineering Theses & Dissertations
A higher-order theory and an associated finite element formulation are developed for analysis of laminated planar beams in bending. The higher-order theory incorporates both transverse normal stress and transverse shear stress, and is developed using two approaches. The first approach is based on assuming the transverse normal strain distribution to be a cubic function through the beam thickness, while the second approach is based on assuming the transverse normal stress distribution to be a cubic function through the beam thickness. In both approaches, the transverse shear strain distribution is assumed to be a quadratic function through the beam thickness. Theoretical …
Simulation Of Vertical Tail Buffet In Internal Vortex Breakdown Flows, Mark William Flanagan
Simulation Of Vertical Tail Buffet In Internal Vortex Breakdown Flows, Mark William Flanagan
Mechanical & Aerospace Engineering Theses & Dissertations
Computational simulation of vertical tail buffet in an internal vortex breakdown flow is considered. The fiuid-flow problem is formulated using the full, compressible, unsteady Navier-Stokes equations which are solved using an implicit, flux-difference splitting, finite volume scheme. The fluid-flow problem is solved in a configured circular duct using quasi-axisymmetric assumptions to simplify the flow equations. A plate is placed transverse to the incoming flow. Solution of the flow in the duct is performed with and without a rigid plate, and with and without an elastic plate. The elastic response of the plate is calculated assuming that it is a cantilever …
An Analysis Of The Response Of A Buckled Beam With Fixed Ends To An Harmonic Base Excitation Using The Finite Element Method, Peter John O'Donoghue
An Analysis Of The Response Of A Buckled Beam With Fixed Ends To An Harmonic Base Excitation Using The Finite Element Method, Peter John O'Donoghue
Mechanical & Aerospace Engineering Theses & Dissertations
A finite element formulation is developed to analyze the large deflection vibration of a buckled isotropic beam. The beam is buckled mechanically by an applied end displacement, and the dynamic loading is derived from the forced periodic base motion. The principle of virtual work is used to derive the system equations of motion. A Newton-Raphson iteration routine modified for the case of an applied end displacement is used with the incremental equations of motion to determine static deflection. The 0l time numerical integration algorithm is applied to the system of equations of motion in physical coordinates to determine dynamic response …
A Fracture Mechanics Analysis Of A 38 Inch Diameter Hot Pressed Beryllium Telescope Mirror, Phillip L. Brown
A Fracture Mechanics Analysis Of A 38 Inch Diameter Hot Pressed Beryllium Telescope Mirror, Phillip L. Brown
Mechanical & Aerospace Engineering Theses & Dissertations
A 38 inch diameter hot pressed beryllium telescope mirror was analyzed for structural integrity using finite-element modeling and a fracture mechanics analysis program, ZIP3D, developed for three-dimensional (3-0) solid and cracked bodies. The calculation of stress and mixed-mode fracture mechanics parameters for the mirror critical stress area was the objective of the mirror analysis.
Finite-element modeling for ZIP3D solution was performed in two stages. The first stage modeling modeled the mirror configuration on a global basis for calculation of accurate nodal displacements. The second stage modeling reduced the modeled mirror configuration to a set of localized models for calculation of …
Elastic Buckling Of Stiffened Composite Curved Panels, Navin R. R. Jaunky
Elastic Buckling Of Stiffened Composite Curved Panels, Navin R. R. Jaunky
Mechanical & Aerospace Engineering Theses & Dissertations
Continuous filament grid-stiffened structure is a stiffening concept that combines structural efficiency and damage tolerance. However, buckle resistant design of such structures using finite elements methods is expensive and time consuming. An analytical model of a general grid stiffened structure is developed using a smeared theory with a first order shear deformation theory to account for transverse shear flexibilities. The solution for buckling of a simply supported panel subjected to combined loading is developed using energy method and a Rayleigh-Ritz technique. The smeared theory results are compared with finite element results. The results smeared theory compare well with the finite …
Design Considerations For An Astronaut Monorail System For Large Space Structures And The Structural Characterization Of Its Positioning Arm, Judith J. Watson
Design Considerations For An Astronaut Monorail System For Large Space Structures And The Structural Characterization Of Its Positioning Arm, Judith J. Watson
Mechanical & Aerospace Engineering Theses & Dissertations
An astronaut monorail system (AMS) is presented as a vehicle to transport and position EV A astronauts along large space truss structures. The AMS is proposed specifically as an alternative to the crew and equipment transfer aid for Space Station Freedom. Design considerations for the AMS were discussed and a reference configuration was selected for the study. Equations were developed to characterize the stiffness and frequency behavior of the AMS positioning arm. Experimental data showed that these equations gave an fairly accurate representation of the stiffness and frequency behavior of the arm. A study was presented to show trends for …
Analysis Of Impact Damage Of Composite Laminates Using Five-Point Bending, Mark Edward Robeson
Analysis Of Impact Damage Of Composite Laminates Using Five-Point Bending, Mark Edward Robeson
Mechanical & Aerospace Engineering Theses & Dissertations
The low-velocity impact of composite laminates can induce high transverse shear strains, resulting in severe damage within the laminate. This type of damage may be studied in a quasi-static manner by use of a multi-span beam shear test in five-point bending configuration. A five-point bending arrangement induces high transverse shear strains in sections of the laminate, causing failures, such as intraply cracks and delaminations, that are similar to those caused by low-velocity impact. Stress distributions in the laminate can be calculated using a potential energy approach, and these stress distributions can be correlated with failure locations in the five-point bending …
Modal Analysis Of Gyroscopically Coupled Sound-Structure Interaction Problems, Vijay B. Bokil
Modal Analysis Of Gyroscopically Coupled Sound-Structure Interaction Problems, Vijay B. Bokil
Mechanical & Aerospace Engineering Theses & Dissertations
In many practical situations we encounter sound-structure interaction between the fluid in a cavity and the flexible wall on the boundary. The aircraft cabin interacting with its fuselage and double-leaf partition walls interacting with the enclosed cavity are some of the typical examples. The vibratory behavior of the structure and the acoustical pressure inside the cavity are affected by this interaction.
In most of the cases, the governing differential equations for the coupled system can be shown to involve gyroscopic coupling. A special method has been applied to decouple the equations in terms of pairs of generalized coordinates and the …
Transfer Function Models And Control Of A Flexible Structure Using Piezoelectric Laminates, Joseph A. Colvin
Transfer Function Models And Control Of A Flexible Structure Using Piezoelectric Laminates, Joseph A. Colvin
Mechanical & Aerospace Engineering Theses & Dissertations
The development of piezoelectric polymer films has generated a great deal of excitement in the structural controls community because they are lightweight, durable, distributed in nature and have broad band frequency characteristics. The flurry of research inspired by piezoelectric films has primarily been dedicated to using them as distributed sensors, and to a lesser extent, as distributed actuators.
Active damping of structural vibrations using piezoelectric polymer films as sensors and actuators has primarily been directed toward taking advantage of their distributed nature and employing various types of distributed control theory. This approach does not easily yield insight into the dynamics …
Hierarchical Flux-Based Thermal-Structural Finite Element Analysis Method, Sandra P. Polesky
Hierarchical Flux-Based Thermal-Structural Finite Element Analysis Method, Sandra P. Polesky
Mechanical & Aerospace Engineering Theses & Dissertations
A hierarchical flux-based finite element method is developed for both one- and two-dimensional thermal-structural analyses. Derivation of the finite element equations is presented. The resulting finite element matrices associated with the flux-based formulation are evaluated in closed-form. The hierarchical finite elements include additional degrees of freedom in the approximation of the element variable distributions by the use of nodeless variables. The nodeless variables offer increased solution accuracy without the need for defining actual nodes and rediscretizing the finite element model. Thermal and structural responses obtained using the hierarchical flux-based method are compared with results obtained from a conventional linear finite …
Development Of A Model Updating Technique For Controls-Structures Integrated Design Optimization, Angela Georges
Development Of A Model Updating Technique For Controls-Structures Integrated Design Optimization, Angela Georges
Mechanical & Aerospace Engineering Theses & Dissertations
A model updating technique is developed with the intent of providing an efficient means of improving the accuracy of the modelling of the vibrational qualities of a large, flexible structure as it undergoes an integrated controls-structures design optimization. The proposed technique utilizes eigenvalue/eigenvector sensitivity information, two different model reduction methods which assign weights of importance to the vibrational modes of the structure, and modal switching based upon the modal weights determined by the model reduction methods. Issues associated with the numerical implementation of the proposed technique, such as discontinuities induced by modal switching, are also addressed.
The proposed model updating …
Linearized Dynamics Of Space Structures With Articulated Appendages, Gopichand Koganti
Linearized Dynamics Of Space Structures With Articulated Appendages, Gopichand Koganti
Mechanical & Aerospace Engineering Theses & Dissertations
The inherent difficulties of the conventional spacecraft design, which first considered the optimization with respect to structural variables and then with respect to control variables, have led to the concept of Controls-Structures Interactive Design. The success of the CSI design of Space structures without articulated appendages has prompted the extension of the CSI design to systems with articulated appendages. The presentation is of two parts, the first part deals with the derivations of the equations of motion and the second part deals with the eigenvalue/vector approximations.
Three approaches, namely: the multibody approach, the finite element based approach with hinge joints …
An Experimental Investigation Of Composite Sensors For Crack Length Measurement, Manickam Ramasamy
An Experimental Investigation Of Composite Sensors For Crack Length Measurement, Manickam Ramasamy
Mechanical & Aerospace Engineering Theses & Dissertations
Structural defects such as cracks can cause catastrophic failure in engineering components or structures. There are many techniques to measure the crack growth in materials and are commercially available. In this thesis, bondable crack length measurement gages have been investigated and these gages give electrical signal as the output and measure the crack length continuously. Silver paint, nickel powder impregnated epoxy and carbon powder impregnated polymer composite gages are investigated and tests are conducted by resistance measurement method with simple instrumentation and by potential drop method with a constant current output source. Rectangular shape gages have been investigated and as …
Finite Element Frequency Domain Solution Of Nonlinear Panel Flutter With Temperature Effects And Fatigue Life Analysis, David Yongxiang Xue
Finite Element Frequency Domain Solution Of Nonlinear Panel Flutter With Temperature Effects And Fatigue Life Analysis, David Yongxiang Xue
Mechanical & Aerospace Engineering Theses & Dissertations
A frequency domain solution method for nonlinear panel flutter with thermal effects using a consistent finite element formulation has been developed. The von Karman nonlinear strain-displacement relation is used to account for large deflections, the quasi-steady first-order piston theory is employed for aerodynamic loading and the quasi-steady thermal stress theory is applied for the thermal stresses with a given change of the temperature distribution, ΔΤ (x, y, z). The equation of motion under a combined thermal-aerodynamic loading can be mathematically separated into two equations and then solved in sequence: (1) thermal-aerodynamic postbuckling and (2) limit-cycle oscillation. The Newton-Raphson iteration technique …
Finite Element Analysis Of Nonlinear Panel Flutter Of Rectangular Composite Plates Under A Uniform Thermal Load, Lain Ross Dixon
Finite Element Analysis Of Nonlinear Panel Flutter Of Rectangular Composite Plates Under A Uniform Thermal Load, Lain Ross Dixon
Mechanical & Aerospace Engineering Theses & Dissertations
A finite element formulation is developed to analyze large-amplitude panel flutter of arbitrarily laminated composite plates subjected to a uniform temperature change. The plates considered are anisotropic composite, thin rectangular panels. The aerodynamic pressure load is modeled through the use of the first-order piston theory. The equations of motion for the oscillating plate are determined from the principle of virtual work. Two different solution procedures are given to determine the panel motions. The first procedure, which considers only the aerodynamic load, solves the panel limit-cycle motions by employing the linearized updated-mode with a nonlinear time function (LUM/NTF) approximation. The second …
Dynamic Test/Analysis Correlation Using Reduced Analytical Models, Paul E. Mcgowan
Dynamic Test/Analysis Correlation Using Reduced Analytical Models, Paul E. Mcgowan
Mechanical & Aerospace Engineering Theses & Dissertations
Test/analysis correlation is an important aspect of the verification of analysis models which are used to predict on-orbit response characteristics of large space structures. This thesis summarizes the study of using reduced analysis models for performing dynamic test/analysis correlation. The reduced test-analysis model (TAM) has the same number of degrees-of-freedom (DOF) as the number of test measurements. This allows the direct comparison of modal parameters between ground vibration test results and finite element model (FEM) analysis results. The TAM can also be used for pre-test analysis and to aid in the post-test mathematical model updating process.
Herein, four methods for …
Simulation And Measurement Of The Radiant Field Produced By Quartz Heating Systems, Travis Lee Turner
Simulation And Measurement Of The Radiant Field Produced By Quartz Heating Systems, Travis Lee Turner
Mechanical & Aerospace Engineering Theses & Dissertations
A method is developed for predicting the radiant heat flux distribution produced by tungsten-filament tubular quartz heating systems with reflectors. The method is an application of Monte Carlo simulation, which takes the form of a ray tracing or random walk scheme. The method is applied to four systems of increasing complexity including; a single unreflected lamp, a single lamp with a flat reflector, a single lamp with a parabolic reflector, and up to six lamps in a six-lamp contoured reflector heating unit. The general methodology of the Monte Carlo method is discussed and applied to the simulation of thermal radiation. …
Finite Element Analysis Of Thermal Post-Buckling And Vibrations Of Thermally Buckled Composite Plates, Charles Clifton Gray
Finite Element Analysis Of Thermal Post-Buckling And Vibrations Of Thermally Buckled Composite Plates, Charles Clifton Gray
Mechanical & Aerospace Engineering Theses & Dissertations
The development of supersonic and hypersonic flight vehicles such as the High Speed Civil Transport and the National Aero-Space Plane has created an increased need for analysis of structures at very high temperatures. Bisplinghoff and Pian, Yang and Han, and Dokmeci and Boley have conducted experimental and analytical studies to determine the effect of elevated temperatures on the vibration characteristics of isotropic plates, Chen and Chen, and Meyers and Hyer have clone studies on thermal buckling and post-buckling of composite plates, respectively.
The thermal loads which will be imposed on the new high speed aircraft will be too great for …
Thermal Compatibility Analysis Of The Passive Damping Treatment Proposed For The Space Shuttle Remote Manipulator System (Srms), Mahesh Chowdhary
Thermal Compatibility Analysis Of The Passive Damping Treatment Proposed For The Space Shuttle Remote Manipulator System (Srms), Mahesh Chowdhary
Mechanical & Aerospace Engineering Theses & Dissertations
The NASA Space Shuttle Remote Manipulator System (SRMS), due to its long reach and light weight construction has significant structural flexibility. Thus any routine use of SRMS often results in large amplitude oscillations with long settling time. A passive damping technique utilizing a constrained viscoelastic layer damping treatment has been proposed to augment the active control of these oscillations in order to enhance the system stability and the end effector positional accuracy. This thesis concerns with the thermal compatibility analysis of the proposed damping treatment. The necessity for thermal compatibility analysis arises from the fact that acceptable damping performance of …
The Effectiveness Of Viscoelastic Damping Treatments On A Flexible Manipulator Subjected To Torsional Loads, Leah L. Remias
The Effectiveness Of Viscoelastic Damping Treatments On A Flexible Manipulator Subjected To Torsional Loads, Leah L. Remias
Mechanical & Aerospace Engineering Theses & Dissertations
The advent of new technology has led to an increasing number of missions in space. The space shuttle Remote Manipulator System (RMS) is a lightweight flexible manipulator currently used in NASA space missions. The future role of the RMS and similar flexible manipulators may include in-space construction and assembly tasks. Because these tasks require precise motion and short settling time of the end-point oscillations, effective vibration control schemes are being investigated.
Passive damping techniques have shown to provide a considerable amount of damping in controlling flexural vibrations. In this research passive damping via constrained viscoelastic damping treatments is explored as …
Finite Element Analysis Of Structures With Constrained Viscoelastic Layer Damping, Yung Chen
Finite Element Analysis Of Structures With Constrained Viscoelastic Layer Damping, Yung Chen
Mechanical & Aerospace Engineering Theses & Dissertations
It has been demonstrated that constrained viscoelastic layer damping treatments provide an effective means of passive control for structural vibration. These treatments dissipate vibrational energy by inducing shear strain in a thin layer of viscoelastic material. Our interest is in adding passive damping to a structure as an augmentation to active control. For such applications it is desirable to achieve high damping performance in a given frequency range with a minimum of added weight. Most damping treatments employ spatially continuous constraining layers over the entire viscoelastic layer. Plunkett and Lee have shown that the effectiveness of the damping treatment can …
Finite Element Formulation And Numerical Simulation Of The Large Deflection Random Vibration Of Laminated Composite Plates, Jay Howard Robinson
Finite Element Formulation And Numerical Simulation Of The Large Deflection Random Vibration Of Laminated Composite Plates, Jay Howard Robinson
Mechanical & Aerospace Engineering Theses & Dissertations
A theoretical large deflection finite element formulation is developed for the purpose of simulating the random vibration of thin generally laminated composite plates. The random acoustic load is taken to be stationary and Gaussian with zero mean and uniform magnitude and phase over the surface of the plate. In plane inertia terms are included in the formulation however rotary inertia terms are assumed negligible.
The integration routine is derived from a set of unified single step algorithms, using a weighted satisfaction of the equilibrium equation. The algorithm is second order accurate and unconditionally stable for particular values of its free …
The Influence Of Payload Dynamics On Trajectory Tracking Performance Of Robot Manipulator, Atul G. Kelkar
The Influence Of Payload Dynamics On Trajectory Tracking Performance Of Robot Manipulator, Atul G. Kelkar
Mechanical & Aerospace Engineering Theses & Dissertations
Future space mission plans call for extensive use of remote manipulator systems for tasks such as assembly of lunar vehicles or space station modules, servicing of satellites, etc. These tasks demand very high precision end-effector motion control. Methods for compensating manipulator dynamics to achieve better trajectory tracking performance have been investigated by many researchers. Still, it is not always clear whether the added complexity of dynamic compensation is warranted for a given system. As an aid in evaluating when dynamic compensation is required, this thesis presents a method for the determination of maximum endpoint tracking error due to uncompensated inertial …
A Detailed Analysis Of Dynamic Robotic Simulation, Lonnie J. Love
A Detailed Analysis Of Dynamic Robotic Simulation, Lonnie J. Love
Mechanical & Aerospace Engineering Theses & Dissertations
Future space missions may require the utilization of automation technology for assembly, maintenance, repair, and a variety of repetitive or hazardous operations. Many tasks which are likely candidates for robotic or telerobotic execution are either difficult or impossible to duplicate in the laboratory. With an accurate simulation package, many of these tasks can be evaluated by computer simulation before committing the resources required for laboratory experimentation. With this motivation, the ROBSIM robot simulation software has been developed by NASA Langley Research Center in conjunction with the Martin Marietta Corporation. ROBSIM is a versatile tool with features including the ability to …
A Systematic Procedure For The Analysis And Design Of Deployable Space Structures, Praveen Kumar
A Systematic Procedure For The Analysis And Design Of Deployable Space Structures, Praveen Kumar
Mechanical & Aerospace Engineering Theses & Dissertations
An integrated graph theory and a symmetry-based approach have been developed for the type synthesis of deployable truss structures. Using this systematic approach, a bay of a deployable structure may be looked upon as being built around an axis or a plane of symmetry, including anti-symmetry. By providing a fictitious joint along this axis, the problem of structural design and analysis can be reduced to the study of one plane or face of the given structure. Each face is considered to be an assemblage of structural links connected by joints which form a closed kinematic chain. The conventional graph representation …
Eigensensitivity Analysis For Space Structures With Applications In Design Optimization, Sean Patrick Kenny
Eigensensitivity Analysis For Space Structures With Applications In Design Optimization, Sean Patrick Kenny
Mechanical & Aerospace Engineering Theses & Dissertations
Eigensensitivity analysis is concerned with the rates of changes of eigenvalues and eigenvectors with respect to design variables. Eigensolutions of space structures are found to display four distinct characteristics, three of which are related to various types of repeated eigenvalues. This study will address three cases of the real symmetric structural eigenvalue problem. The three cases that will be considered are: distinct eigenvalues, repeated eigenvalues with distinct first eigenvalue derivatives, and repeated eigenvalues with infinitely repeating eigenvalue derivatives. Analytic formulations for eigenvalue/ vector derivatives will be presented for each of the three cases. The directional differentiability of eigenvalues for the …