Semi-implicit numerical simulations of geometrically nonlinear beam,plate, and shell dynamical systems |
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| Authors: | T Alexeev M Hafez |
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| Affiliation: | 1. Structural Engineering Department, University of California San Diego, San Diego, California, USA;2. Mechanical and Aerospace Engineering Department, University of California Davis, Davis, California, USA |
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| Abstract: | The following article serves three purposes: (i) it presents a simple semi-implicit numerical formulation for nonlinear structural dynamics problems, which is computationally inexpensive and simple to use in nonlinear dynamics and chaos simulations; (ii) it serves as an introduction to numerical studies of nonlinear structural dynamics for engineering students; and (iii) it formulates a nonlinear structural dynamical system for studies of nonlinear dynamics and chaos. Numerical formulations along with results are presented for nonlinear oscillators, beams, Föppl–von Kármán plates, and thin shallow shells. |
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| Keywords: | Nonlinear dynamics plates shells large deformation chaos |
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