Optimal structural design for given deflection under periodic loading
Author:
Raymond H. Plaut
Journal:
Quart. Appl. Math. 29 (1971), 315-318
DOI:
https://doi.org/10.1090/qam/99758
MathSciNet review:
QAM99758
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Abstract |
References |
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Abstract: This paper is concerned with the minimum-weight design of structures subjected to periodic loading, under the constraint of a prescribed deflection at a specified point of the structure. For elastic sandwich beams, the method of stationary mutual potential energy is extended to cover periodic loading and a sufficient condition for stationary weight is derived.
L. J. Icerman, Optimal structural design for given dynamic deflection, Intemat. J. Solids & Structures 5, 473–490 (1969)
R. T. Shield and W. Prager, Optimal structural design for given deflection, Z. Angew. Math. Phys. 21, 513–523 (1970)
- J. M. Chern and W. Prager, Optimal design of rotating disk for given radial displacement of edge, J. Optim. Theory Appl. 6 (1970), no. 2, 161–170. MR 1551347, DOI https://doi.org/10.1007/BF00927049
J. M. Chern, Optimal structural design for given deflection in presence of body forces, J. Optimization Theory & Appls. (to appear)
W. Prager, Optimal thermoelastic design for given deflection, Internat. J. Mech. Sci. 12, 705–709 (1970)
J. M. Chern, Optimal thermoelastic design for given deformation (to appear)
- Witold Nowacki, Dynamics of elastic systems, John Wiley & Sons, Inc., New York, 1963. Translated from the Polish by Henryk Zorski. MR 0169452
L. J. Icerman, Optimal structural design for given dynamic deflection, Intemat. J. Solids & Structures 5, 473–490 (1969)
R. T. Shield and W. Prager, Optimal structural design for given deflection, Z. Angew. Math. Phys. 21, 513–523 (1970)
J. M. Chern and W. Prager, Optimal design of rotating disk for given radial displacement of edge, J. Optimization Theory & Appls. 6, 161–170 (1970)
J. M. Chern, Optimal structural design for given deflection in presence of body forces, J. Optimization Theory & Appls. (to appear)
W. Prager, Optimal thermoelastic design for given deflection, Internat. J. Mech. Sci. 12, 705–709 (1970)
J. M. Chern, Optimal thermoelastic design for given deformation (to appear)
W. Nowacki, Dynamics of elastic systems, Wiley, New York, 1963, p. 31
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Article copyright:
© Copyright 1971
American Mathematical Society