Dynamic Analysis of the Flexible Quick-Return Mechanism by Fixed and Variable Finite-Difference Grids

• Main Authors: Chang Han Chi, 張漢錡
• Other Authors: Fung Rong Fung
• Format: Others
• Language: en_US
• Published: 1999
• Online Access: http://ndltd.ncl.edu.tw/handle/54409730200580624186

碩士 === 中原大學 === 機械工程學系 === 87 === The finite difference method (FDM) with fixed and variable grids is proposed to approximate the numerical solutions of a flexible quick-return mechanism, which involves a flexible rod with time-dependent length. In the dynamic analysis and simulation, the flexible rod is divided into two regions. Each region is modeled by the Timoshenko- and Euler-beam theories. It is found that (1) the fixed-grid method, where the moving boundary is often located between two neighboring grid points, breaks down when the boundary moves a distance larger than an increment space during a time step. (2) The possibility of break down can be avoided via the variable-grid method, in which a coordinate transformation is employed to fix the moving boundary. The numerical results are provided to compare with the previous works.