Modal Approximation Based Optimal Design of Dynamically Loaded Plastic Structures

  • Bartlomiej Blachowski Institute of Fundamental Technological Research, Polish Academy of Sciences
  • Piotr Tauzowski Institute of Fundamental Technological Research, Polish Academy of Sciences
  • János Lógó Budapest University of Technology and Economics

Abstract

The purpose of this study is to present an optimal design procedure for elasto-plastic structures subjected to impact loading. The proposed method is based on mode approximation of the displacement field and assumption of constant acceleration of impacted structure during whole time of deformation process until the plastic displacement limit is reached. Derivation of the method begins with the application of the principle of conservation of linear momentum, followed by determination of inertial forces. The final stage of the method utilizes an optimization technique in order to find a minimum weight structure. Eventually, effectiveness and usefulness of the proposed method is demonstrated on the example of a planar truss structure subjected to dynamic loading caused by a mass impacting the structure with a given initial velocity.

Keywords: structural dynamics, optimal design, elasto-plastic structures, short-time dynamic loading
Published online
2017-06-12
How to Cite
Blachowski, B., Tauzowski, P., & Lógó, J. (2017). Modal Approximation Based Optimal Design of Dynamically Loaded Plastic Structures. Periodica Polytechnica Civil Engineering, 61(4), 987-992. https://doi.org/10.3311/PPci.11016
Section
Research Article