Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 8 of 8 for “"Arclength"”.
-
A parallel adaptive method for pseudo-arclength continuation
We parallelize the pseudo-arclength continuation method for solving nonlinear systems of equations. Pseudo-arclength continuation is a predictor-corrector method where the correction step consists of solving a linear system of algebraic equations. Our algorithm parallelizes adaptive step-length …
-
On matrix-free pseudo-arclength continuation methods applied to a nonlocal partial differential equation in 1+1D with pseudo-spectral time-stepping
… et al. [5]. Finally we apply matrix-free, pseudo-arclength continuation methods with consideration given to symmetries within the model in an attempt to trace curves from known states to more dynamically exotic regions of parameter space. The ow operator is used to condition the Newton systems …
-
Application of the Theory of Elasticity to Modeling of Protein -Dna Interactions
… are considered to be functions of the loop arclength, so that the DNA sequence-specific properties can be modeled. The developed theory is applied to predict the structure of the DNA loop connecting the protein-bound DNA segments in the crystal structure of the lac repressor-DNA complex. The …
-
Nonlinear flutter of composite shear-deformable panels in a high-supersonic flow
… the Shooting Method, in conjunction with the Arclength Continuation Method for the static solution. For the perfect panel, the amplitudes and frequency of flutter obtained by the Shooting Method are shown to compare well with results from the Method of Multiple Scales when linear aerodynamics …
-
Nonlinear Response of Cantilever Beams
… to aperiodic responses of the beams. A pseudo-arclength scheme is used to determine the fixed points and their stability. In some cases, they are found to undergo Hopf bifurcations, which result in limit cycles. A combination of a long-time integration, a two-point boundary-value continuation …
-
Exploring the Nonlinear Dynamics of Tapping Mode Atomic Force Microscopy with Capillary Layer Interactions
… with event handling and the numerical pseudo-arclength continuation of periodic solutions. We first use these numerical approaches to explore the nonlinear dynamics of the cantilever. We find the coexistence of three steady state oscillating solutions: (i) periodic with low-amplitude, (ii) …
-
Nonlinear Vibrations of Doubly Curved Cross-PLy Shallow Shells
… the slow dynamics of the response. A pseudo-arclength scheme is used to determine the fixed points of the modulation equations and the stability of these fixed points is investigated. In some cases, the fixed points undergo Hopf bifurcations, which result in dynamic solutions. A combination …
-
Design and Analysis of Biomimetic Medusa Robots
… and by tracking the C. capillata exumbrella arclength in order to have a constant scale through the swimming cycles. A linear fit of the top bell portion was used to find the body angle with respect to the camera coordinate system. Bell margin trajectories over two swimming cycles confirm the …