| Summary: | 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.
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