Nonlinear Analysis and Optimal Design of Dynamic Mechanical Systems for Spacecraft Application.
Annual technical rept. 1 Feb 84-31 Jan 85,
CLARKSON UNIV POTSDAM NY DEPT OF MECHANICAL AND INDUSTRIAL ENGINEERING
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A nonlinear finite element procedure has been developed for the dynamic vibrational analysis of planar mechanisms. The analysis takes into account the effects of geometric and material nonlinearities, vibrational effects and coupling of deformations. The effects of nonlinearities have been found to be significant on the dynamic behavior. Due to the complex nature of this nonlinear analysis procedure, an efficient optimal design approach using an optimality criterion technique was developed. The new optimization technique, called the Gauss Nonlinearly Constrained Technique, was developed in such a way that is applicable to design problems with nonlinear objective functions and constraints. The applicability of this method has been demonstrated with example problems consisting of objective functions of various complexities. Complete details of the nonlinear finite element procedure as well as the optimization technique are available in the appendix. Keywords Vibrational analysis Optimization Geometric nonlinearity Material nonlinearity.
- Theoretical Mathematics
- Unmanned Spacecraft