【摘要】 本文根据子结构界面位移综合法的原理,用三次样条函数作为离散时间域内的时域函数,按加权残值法,导出了含有时间步长△t的广义坐标的五种递推公式,对组合结构每一时刻的位移、速度和加速度都可以方便地求出。文中还对这些递推公式的精度和稳定性作了详细讨论。在微机上得到的数值算例表明,该方法用于组合结构的动力分析是方便而有效的,并可推广用于解决复杂结构的非线性动力问题。更多还原

【Abstract】 In the paper, according to the theory of Substructure interface displacement synthesis method and weighted residual method, five recurrence formulas with time interval △t for generalized coordinates are derived by using third order splin function as a trial function in discrete regions of time. The displacements, velocities and accelerations of compound structure can be obtained conveniently. Their accuracies and stabilities are analyzed in detail. The numerical examples calculated in micro-computer show that, these methods are convenient and effective for dynamic analysis of compound structure, and it can be used to solve non-linear dynamic problems for complex structure.更多还原