【摘要】 应用混合变量最小作用量原理求解了三边固定一边自由矩形板在任意集中谐载作用下的受迫振动 问题，建立了求解这类问题受迫振动稳态解的新方法．对于结构工程抗震问题中的振动分析给出了一个新 的解决途径．所获得的计算结果，跟现有的文献进行比较证明了其正确性．因此该方法不仅具有重要的理论 价值，而且可以为工程实际直接采用．更多还原

【Abstract】 The principle of least action with variables was used to solve the forced vibration of the rectangular plate with three clamped and the other free under concentrated load,and the corresponding stable solution was obtained.Moreover,the principle was extended to solve the forced vibration of straight stem and bending of thin rectangular plates,and a new method for solving this kind of problems was established.The results were compared with the literates,which proved our method to be true.So the method gives us a new way to solve some problems about earthquake resistance and vibration analysis of the architecture engineering.更多还原