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On minimizing the response of structures to dynamic loading

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Zusammenfassung

Eine obere Schranke wird angegeben für die Ausschläge eines elastischen Balkens unter allgemeiner dynamischer Belastung. Die Bemessung, für welche diese Schranke einen Kleinstwert annimmt, wird bestimmt und mit der Bemessung für kleinste statische Durchbiegung verglichen.

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References

  1. R. M. Brach,Minimum Dynamic Response for a Class of Simply Supported Beam Shapes, Int. J. Mech. Sci.10, 429 (1968).

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  2. L. J. Icerman,Optimal Structural Design for Given Dynamic Deflection, Int. J. Solids and Structures5, 473 (1969).

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  3. R. H. Plaut,Optimal Structural Design for Given Deflection Under Periodic Loading, to appear in Quart. appl. Math.

  4. L. B. Freund andR. H. Plaut,An Energy-Displacement Inequality Applicable to Problems in the Dynamic Stability of Structures, to appear in J. appl. Mech.

  5. R. T. Shield andW. Prager,Optimal Structural Design for Given Deflection, to appear in J. appl. Math. Phys. (ZAMP),21, 513–523 (1970).

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Authors and Affiliations

  1. Div. of Applied Mathematics and Engineering (Research), Brown University, Providence, R. I., USA

    Raymond H. Plaut

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  1. Raymond H. Plaut
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Additional information

Supported in part by the U. S. Army Research Office-Durham and in part by the United States Navy under Grant No. NONR N00014-67-A-0191-0009.

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Plaut, R.H. On minimizing the response of structures to dynamic loading. Journal of Applied Mathematics and Physics (ZAMP) 21, 1004–1010 (1970). https://doi.org/10.1007/BF01594858

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  • DOI: https://doi.org/10.1007/BF01594858

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