単軸圧縮下における低自由度周期リンク構造の変形遷移解析

抄録

In the previous study, we clarified that the specific cellular structure exhibits a switching deformation toward the two different motions under uniaxial compression. It is, however, difficult to solve the exact solution of the switching mechanism because the mathematical description of cell deflection is complex. To investigate such a deformation switching in more detail deeply, we here propose a simple periodic link-structure with low degrees of freedom, which is connected with linear and rotational springs. Numerically exploring the equilibrium paths then reveals a transition state of the structure at a critical value of the internal stiffness. We also formulate the simplified model of the proposed structure with weak nonlinear term and mathematically derive the critical point for the corresponding transition in the simplified system. From the calculated load-displacement curves, we further show that the secondary paths of the structural system without approximation behave in a different manner via the bifurcation point. Thus, the applied load increases in one case and decreases in another case while those of the approximate model are consistent.