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Full-Text Articles in Mechanical Engineering
Markov Chain Monte Carlo-Based Method For Flaw Detection In Beams, Christopher Lee, Ronald Glaser, John Nitao, Tracy Hickling, William Hanley
Markov Chain Monte Carlo-Based Method For Flaw Detection In Beams, Christopher Lee, Ronald Glaser, John Nitao, Tracy Hickling, William Hanley
Christopher Lee
A Bayesian inference methodology using a Markov chain Monte Carlo (MCMC) sampling procedure is presented for estimating the parameters of computational structural models. This methodology combines prior information, measured data, and forward models to produce a posterior distribution for the system parameters of structural models that is most consistent with all available data. The MCMC procedure is based upon a Metropolis-Hastings algorithm that is shown to function effectively with noisy data, incomplete data sets, and mismatched computational nodes/measurement points. A series of numerical test cases based upon a cantilever beam is presented. The results demonstrate that the algorithm is able …
Nonlinear Dynamics And Loop Formation In Kirchoff Rods With Implications To The Mechanics Of Dna And Cables, Sachin Goyal, Noel Perkins, Christopher Lee
Nonlinear Dynamics And Loop Formation In Kirchoff Rods With Implications To The Mechanics Of Dna And Cables, Sachin Goyal, Noel Perkins, Christopher Lee
Christopher Lee
The paper contributes a general dynamical formulation and numerical solution procedure for studying nonlinear and three-dimensional dynamics of Kirchhoffrods. Target applications include the dynamic formation of DNA loops and supercoils as well as loops (hockles) in marine cables. The formulation accommodates non-homogeneous and non-isotropic inextensible rods both with and without coupling of tension and torsion. The utility of this formulation is illustrated by studying the dynamics and quasi-static response of a clamped–clamped rod subject to compression and/or twist. For slow loading rates, the computed quasi-static responses converge to published equilibrium solutions for a benchmark problem. As loading rates increase, new …