Mechanics of Building Structural Materials Based on Lagrangian Mathematical Model Analysis

Abstract This paper approximately analyzes the dynamic response mode of building materials under impact load according to Lagrange equation. We use redundant constraint force statically indeterminate structure list its strain energy expression. At same time, introduces multiplier and combines static equilibrium equation obtain internal structure. The calculation results show that duration peak value are important factors determining structural members' failure mode. study lays foundation for research on material's control mechanism performance. our also provide methods ideas rigid body dynamics modeling other parallel mechanisms.