【摘要】 本文提出了一类修正的Hamilton原理,并在此基础上,推导了波动力程数值求解中时域内的有限元离散格式,进而从时间和空间离散方法相统一的角度,讨论了直接积分方法中时间步长的选取问题。在分析了误差匹配关系之后,文中给出了有限元网格划分和时间步长选取应遵循的一般准则,并从新的意义上对中心差分法进行了讨论。更多还原

【Abstract】 The paper presents a modified Hamilton’s principle. On the basis of that, the scheme of finite element discretization in time domain for the solution of wave equation is formulated, and then the problem of the choice of time step in the direct integration discussed from a new angle that the discretization techniques are same both in space domain and time domain. After the analysis of errors, the paper suggests a general criterion for division of finite element mesh and choice of time step. Finally,the central difference method is discussed in a new sense.更多还原