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Optimal design of dynamically loaded continuous structures
Author(s) -
Haug Edward J.,
Feng TT.
Publication year - 1978
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620120211
Subject(s) - finite element method , adjoint equation , mathematics , partial differential equation , boundary value problem , displacement (psychology) , projection (relational algebra) , transient (computer programming) , sensitivity (control systems) , beam (structure) , mathematical optimization , mathematical analysis , computer science , algorithm , structural engineering , engineering , psychology , electronic engineering , psychotherapist , operating system
A computational algorithm is developed and applied for optimization of beam and plate structures, subject to constraints on transient dynamic response. A continuous design formulation is retained, with dynamic response governed by partial differential operator equations. Adjoint equations are employed for sensitivity analysis and a function space gradient projection optimization approach is presented. Finite element analysis methods are applied for solution of the system dynamic and adjoint differential equations. Displacement constrained beam and plate minimum weight examples are solved, with a variety of boundary conditions.