Two Theorems for Computation of Projections of Virtual Displacements and Its Application in Structural Analysis

  • Zhenchao Su Department of Civil Engineering, Tan Kah Kee College, Xiamen University, China
  • Yanxia Xue Department of Civil Engineering, Tan Kah Kee College, Xiamen University, China

Abstract

A theorem for planar case and its generalization for spatial case are proposed to determine the projection of a virtual displacement to the orientation under the case of knowing the projections of a virtual displacement to the given two or three orientations for object systems subject to holonomic and scleronomic constraints. Some lemmas corresponding to the two theorems for special cases are given. Applications to structural static analysis are investigated using the two theorems in this paper. Result reveals that the two theorems and corresponding lemmas are easy to be used, shorten the distance between the principle of virtual displacement and its application, and the relating problems can be solved quickly with them.

Keywords: projection of virtual displacement, principle of virtual displacement, engineering mechanics, structural analysis
Published online
2017-03-29
How to Cite
Su, Z. and Xue, Y. (2017) “Two Theorems for Computation of Projections of Virtual Displacements and Its Application in Structural Analysis”, Periodica Polytechnica Mechanical Engineering, 61(2), pp. 135-139. https://doi.org/10.3311/PPme.9922.
Section
Articles