Manufacturability And Analysis Of Topologically Optimized Continuous Fiber Reinforced Composites, 2022 Embry-Riddle Aeronautical University
Manufacturability And Analysis Of Topologically Optimized Continuous Fiber Reinforced Composites, Jesus A. Ferrand
Doctoral Dissertations and Master's Theses
Researchers are unlocking the potential of Continuous Fiber Reinforced Composites for producing components with greater strength-to-weight ratios than state of the art metal alloys and unidirectional composites. The key is the emerging technology of topology optimization and advances in additive manufacturing. Topology optimization can fine tune component geometry and fiber placement all while satisfying stress constraints. However, the technology cannot yet robustly guarantee manufacturability. For this reason, substantial post-processing of an optimized design consisting of manual fiber replacement and subsequent Finite Element Analysis (FEA) is still required.
To automate this post-processing in two dimensions, two (2) algorithms were developed. The …
Hyperspectral Unmixing: A Theoretical Aspect And Applications To Crism Data Processing, 2022 University of Massachusetts Amherst
Hyperspectral Unmixing: A Theoretical Aspect And Applications To Crism Data Processing, Yuki Itoh
Doctoral Dissertations
Hyperspectral imaging has been deployed in earth and planetary remote sensing, and has contributed the development of new methods for monitoring the earth environment and new discoveries in planetary science. It has given scientists and engineers a new way to observe the surface of earth and planetary bodies by measuring the spectroscopic spectrum at a pixel scale. Hyperspectal images require complex processing before practical use. One of the important goals of hyperspectral imaging is to obtain the images of reflectance spectrum. A raw image obtained by hyperspectral remote sensing usually undergoes conversion to a physical quantity representing the intensity of …
Improved Operational Matrices Of Dp-Ball Polynomials For Solving Singular Second Order Linear Dirichlet-Type Boundary Value Problems, 2022 Department of Mathematics, Al-Ahgaff University
Improved Operational Matrices Of Dp-Ball Polynomials For Solving Singular Second Order Linear Dirichlet-Type Boundary Value Problems, Ahmed Kherd, Salim F. Bamsaoud, Omar Bazighifan, Mobarek A. Assabaai
Hadhramout University Journal of Natural & Applied Sciences
Solving Dirichlet-type boundary value problems (BVPs) using a novel numerical approach is presented in this study. The operational matrices of DP-Ball Polynomials are used to solve the linear second-order BVPs. The modification of the operational matrix eliminates the BVP's singularity. Consequently, guaranteeing a solution is reached. In this article, three different examples were taken into consideration in order to demonstrate the applicability of the method. Based on the findings, it seems that the methodology may be used effectively to provide accurate solutions.
(Si10-062) Comprehensive Study On Methodology Of Orthogonal Interleavers, 2022 Pranveer Singh Institue of Technology
(Si10-062) Comprehensive Study On Methodology Of Orthogonal Interleavers, Priyanka Agarwal, Shivani Dixit, M. Shukla, Gaurish Joshi
Applications and Applied Mathematics: An International Journal (AAM)
Interleaving permutes the data bits by employing a user defined sequence to reduce burst error which at times exceeds the minimum hamming distance. It serves as the sole medium to distinguish user data in the overlapping channel and is the heart of Interleave Division Multiple Access (IDMA) scheme. Versatility of interleavers relies on various design parameters such as orthogonality, correlation, latency and performance parameters like bit error rate (BER), memory occupancy and computation complexity. In this paper, a comprehensive study of interleaving phenomenon and discussion on numerous interleavers is presented. Also, the BER performance of interleavers using IDMA scheme is …
(Si10-067) Numerical Study Of The Time Fractional Burgers’ Equation By Using Explicit And Implicit Schemes, 2022 National Institute of Technology, Arunachal Pradesh
(Si10-067) Numerical Study Of The Time Fractional Burgers’ Equation By Using Explicit And Implicit Schemes, Swapnali Doley, A. Vanav Kumar, L. Jino
Applications and Applied Mathematics: An International Journal (AAM)
The study discusses the numerical solution for a time fractional Burgers’ equation using explicit (scheme 1) and implicit scheme (scheme 2), respectively. The approximation of the differential equation is discretized using the finite difference method (FDM). A non-linear term present in the Burgers’ equation is approximated using the time-averaged values. The Von-Neumann analysis shows that the Scheme 1 is conditionally stable and Scheme 2 is unconditionally stable. The numerical solutions are compared with the exact solutions and are good in agreement. Also, the error is estimated between exact and numerical solutions.
(Si10-056) Fear Effect In A Three Species Prey-Predator Food-Web System With Harvesting, 2022 Banaras Hindu University
(Si10-056) Fear Effect In A Three Species Prey-Predator Food-Web System With Harvesting, R. P. Gupta, Dinesh K. Yadav
Applications and Applied Mathematics: An International Journal (AAM)
Some recent studies and field experiments show that predators affect their prey not only by direct capture; they also induce fear in prey species, which reduces their reproduction rate. Considering this fact, we propose a mathematical model to study the fear effect of a middle predator on its prey in a three-species food web system with harvesting. The ecological feasibility of solutions to the proposed system is guaranteed in terms of positivity and boundedness. The local stability of stationary points in the proposed system is derived. Multiple co-existing stationary points for the proposed system are observed, which makes the problem …
Approximation By Basis Pursuit: Background And Application To The Construction Of Efficient Spline Approximations, 2022 West Virginia University
Approximation By Basis Pursuit: Background And Application To The Construction Of Efficient Spline Approximations, Babita Timalsina
Graduate Student Scholarship
Basis Pursuit was developed primarily as a tool in the field of signal processing, beginning in the mid 1990’s. The idea is to model the behavior of discrete signals using a wide range of functional behaviors and scales and to obtain an accurate and efficient representation of the signal using a minimal number of functions from a large “dictionary” of possible behaviors. The key observation is by formulating the representation as an ℓ1 optimization, the problem can be posed as a linear program so that the optimal solution uses no more than the number of constraints - it must be …
A Data Driven Modeling Approach For Store Distributed Load And Trajectory Prediction, 2022 Embry-Riddle Aeronautical University
A Data Driven Modeling Approach For Store Distributed Load And Trajectory Prediction, Nicholas Peters
Doctoral Dissertations and Master's Theses
The task of achieving successful store separation from aircraft and spacecraft has historically been and continues to be, a critical issue for the aerospace industry. Whether it be from store-on-store wake interactions, store-parent body interactions or free stream turbulence, a failed case of store separation poses a serious risk to aircraft operators. Cases of failed store separation do not simply imply missing an intended target, but also bring the risk of collision with, and destruction of, the parent body vehicle. Given this risk, numerous well-tested procedures have been developed to help analyze store separation within the safe confines of wind …
Axisymmetric Hydromagnetized Heat Transfer Across A Stretching Sheet With Joule Heating And Radiation, 2022 university of engineering and technology taxila pakistan
Axisymmetric Hydromagnetized Heat Transfer Across A Stretching Sheet With Joule Heating And Radiation, Tahir Naseem, Sajeela Bibi
International Journal of Emerging Multidisciplinaries: Mathematics
This investigation thoroughly analyses magnetohydrodynamics axisymmetric fluid flow and heat transfer over an exponentially stretching sheet in the presence of radiation and Joule heating effects. The governing partial differential equation is obtained and converted into coupled ordinary differential equations using a suitable similarity transformation. This transformation is also used to re-model the governing system to modify ODEs and boundary conditions using the BVP4C MATLAB) package. The effects of the involved physical parameters, such as suction/injection parameter, magnetic parameter, Prandtl number, Eckert number, and radiation parameter on velocity and temperature profiles are shown graphically. The effects of various parameters on Nusselt …
Homotopy Analysis Method For Fourth-Order Time Fractional Diffusion-Wave Equation, 2022 HITEC Taxila Cantt
Homotopy Analysis Method For Fourth-Order Time Fractional Diffusion-Wave Equation, Naveed Imran, Raja Mehmood Khan
International Journal of Emerging Multidisciplinaries: Mathematics
This paper is devoted to the study of a fourth-order fractional diffusion-wave equation defined in a bounded space domain. We apply Homotopy Analysis Method (HAM) to obtain solutions of fourth-order fractional diffusion-wave equation defined in a bounded space domain. It is observed that the HAM improves the accuracy and enlarge the convergence domain.
Flow And Heat Transfer Of Power Law Fluid Over Horizontal Stretching Cylinder With Partial Slip Condition And Thermal Radiation, 2022 University of Engineering and Technology Taxila
Flow And Heat Transfer Of Power Law Fluid Over Horizontal Stretching Cylinder With Partial Slip Condition And Thermal Radiation, Zakia Shamim, Azeem Shahzad, Tahir Naseem
International Journal of Emerging Multidisciplinaries: Mathematics
The aim of the present study is to investigate the boundary layer flow of power-law fluid over the horizontal stretching cylinder. The temperature-dependent thermal conductivity of the power-law fluid is considered. Combined effects of constant thermal conductivity and viscous dissipation are analyzed in heat transfer. The relevant boundary layer partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) by using suitable transformations. These nonlinear ordinary differential equations are solved by the BVP4C method using MATLAB. The accuracy of computed results is checked by comparing them with existing literature. To discuss the effects of flow parameters on velocity and …
Numerical Solution Of An Inviscid Burger Equation With Cauchy Conditions, 2022 International Journal of Emerging Multidisciplinaries: Mathematics
Numerical Solution Of An Inviscid Burger Equation With Cauchy Conditions, Muhammad Zahid
International Journal of Emerging Multidisciplinaries: Mathematics
This article deals with the solution of the Cauchy problem for the Inviscid Burger equation. Various numerical techniques like Upwind non Conservative, Upwind Conservative, Lax Friedrich, Lax Wendorff, and Mac Cormack, are used to solve initial-value problems for the Inviscid Burger equation. Through various model problems, the efficiency and accuracy of the techniques have been shown via the graphical and tabulated form with the exact solution
Heat And Mass Transfer Of Viscous Fluid In A Permeable Channel With Reabsorbing Walls, 2022 COMSATS University Islamabad, Abbottabad Campus
Heat And Mass Transfer Of Viscous Fluid In A Permeable Channel With Reabsorbing Walls, Aamir Shahzad, Aniqa Shah, Shamsul Haq
International Journal of Emerging Multidisciplinaries: Mathematics
An analytical investigation is made to determine the heat and mass transfer mechanism of non-isothermal highly viscous uid in a longnarrow porous channel. The walls of the channel are maintained at the same temperature. The mathematical model is developed by using the continuity, momentum, energy and diffusion equations. Analytical solutions are establish to get the expressions of velocity field, pressure distribution, mass ow rate, wall shear stress, temperature profile, mass concentration distribution as well as the heat transfer rate (Nusselt number) and mass transfer rate (Sherwood number) with involved physical parameters. Numerical results are graphically sketched to describe the role …
Theory And Computations For The System Of Integral Equations Via The Use Of Optimal Auxiliary Function Method, 2022 Abdul wali Khan university Mardan
Theory And Computations For The System Of Integral Equations Via The Use Of Optimal Auxiliary Function Method, Laiq Zada, Falak Naz, Rashid Nawaz
International Journal of Emerging Multidisciplinaries: Mathematics
This paper extends the application of Optimal Auxiliary Function Method (OAFM) to the system of integral equations. The system of Volterra integral equations of second kind are taken as test examples. The results obtained by proposed method are compared with different methods i.e., Biorthogonal systems in a Banach space Fixed point, the implicit Trapezoidal rule in conjunction with Newton's method, and Relaxed Monte Carlo method (RMCM). The results revealed that OAFM is more efficient, simple to apply, and fast convergent. The auxiliary functions used in the method control its convergence. The values of arbitrary constants involved in the auxiliary functions …
Squeezing Flow Between Two Parallel Plates Under The EffEcts Of Maxwell Equation And Viscous Dissipation, 2022 Department of Mathematics, University of Peshawar, KP, Pakistan.
Squeezing Flow Between Two Parallel Plates Under The EffEcts Of Maxwell Equation And Viscous Dissipation, Muhammad Bilal, Anwar Saeed, Ayesha Ali
International Journal of Emerging Multidisciplinaries: Mathematics
The unsteady, incompressible electroviscous fluid flow has been investigated with thermal energy transmission across two parallel plates. The upper plate is in motion, while the lower one is stationary. The flow is governed by the Navier-Stokes equations, which are combined with the Maxwell equation. The system of nonlinear PDEs is simplified to a system of ODEs along with their boundary conditions using Von-Karman's transformation. For the problem's analytic solution, the homotopy analysis method (HAM) has been used, and the result is compared to the Runge Kutta method of order four and latest computational technique parametric continuation method (PCM) to determine …
Three Dimensional Mhd Viscous Flow Under The Influence Of Thermal Radiation And Viscous Dissipation, 2022 Institute of Mathematics, Khwaja Fareed University of Engineering & Information Technology, Rahim Yar Khan 64200, Pakistan
Three Dimensional Mhd Viscous Flow Under The Influence Of Thermal Radiation And Viscous Dissipation, Sana Akbar, Muhammad Sohail
International Journal of Emerging Multidisciplinaries: Mathematics
The present study elucidates the results on the mathematical modeling and numerical study for the viscous flow demeanor past over the plane horizontal surface stretched nonlinearly in two sideways. Furthermore, a comprehensive analysis on the effects of magnetic field, thermal radiation and viscous dissipation are considered and observed. Cartesian coordinate system is employed for modelling the flow equations. In this research water act as a traditional thermal fluid. Three distinct nanoparticles namely Gold (Au), Aluminum (Al) and Silver (Ag) are suspended. Numerical and analytical solution for the resulting differential equations demonstrates the flow demeanor for velocity and temperature distribution are …
The Art Of Landslides: How Stochastic Mass Wasting Shapes Topography And Influences Landscape Dynamics, 2022 University of Colorado, Boulder
The Art Of Landslides: How Stochastic Mass Wasting Shapes Topography And Influences Landscape Dynamics, Benjamin Campforts, Charles Shobe, Irina Overeem, Gregory Tucker
Faculty & Staff Scholarship
Bedrock landslides shape topography and mobilize large volumes of sediment. Yet, interactions between landslide-produced sediment and fluvial systems that together govern large-scale landscape evolution are not well understood. To explain morphological patterns observed in steep, landslide-prone terrain, we explicitly model stochastic landsliding and associated sediment dynamics. The model accounts for several common landscape features such as slope frequency distributions, which include values in excess of regional stability limits, quasi-planar hillslopes decorated with straight, closely spaced channel-like features, and accumulation of sediment in valley networks rather than on hillslopes. Stochastic landsliding strongly affects the magnitude and timing of sediment supply to …
Spectral Analysis Of Multiscale Cultural Traits On Twitter, 2022 MIT
Spectral Analysis Of Multiscale Cultural Traits On Twitter, Chandler Squires, Nikhil Kunapuli, Yaneer Bar-Yam, Alfredo Morales
Northeast Journal of Complex Systems (NEJCS)
Understanding and mapping the emergence and boundaries of cultural areas is a challenge for social sciences. In this paper, we present a method for analyzing the cultural composition of regions via Twitter hashtags. Cultures can be described as distinct combination of traits which we capture via principal component analysis (PCA). We investigate the top 8 PCA components of an area including France, Spain, and Portugal, in terms of the geographic distribution of their hashtag composition. We also discuss relationships between components and the insights those relationships can provide into the structure of a cultural space. Finally, we compare the spatial …
Automating Defeasible Reasoning In Law With Answer Set Programming, 2022 Singapore Management University
Automating Defeasible Reasoning In Law With Answer Set Programming, How Khang Lim, Avishkar Mahajar, Martin Strecker, Meng Weng Wong
Centre for Computational Law
The paper studies defeasible reasoning in rule-based systems, in particular about legal norms and contracts. We identify rule modifiers that specify how rules interact and how they can be overridden. We then define rule transformations that eliminate these modifiers, leading in the end to a translation of rules to formulas. For reasoning with and about rules, we contrast two approaches, one in a classical logic with SMT solvers, which is only briefly sketched, and one using non-monotonic logic with Answer Set Programming solvers, described in more detail.
Cohomology Of The Symmetric Group With Twisted Coefficients And Quotients Of The Braid Group, 2022 University of Arkansas, Fayetteville
Cohomology Of The Symmetric Group With Twisted Coefficients And Quotients Of The Braid Group, Trevor Nakamura
Graduate Theses and Dissertations
In 2014 Brendle and Margalit proved the level $4$ congruence subgroup of the braid group, $B_{n}[4]$, is the subgroup of the pure braid group generated by squares of all elements, $PB_{n}^{2}$. We define the mod $4$ braid group, $\Z_{n}$, to be the quotient of the braid group by the level 4 congruence subgroup, $B_{n}/B_{n}[4]$. In this dissertation we construct a group presentation for $\Z_{n}$ and determine a normal generating set for $B_{n}[4]$ as a subgroup of the braid group. Further work by Kordek and Margalit in 2019 proved $\Z_{n}$ is an extension of the symmetric group, $S_{n}$, by $\mathbb{Z}_{2}^{\binom{n}{2}}$. A …