Abstract

Natural vibrations of a rectangular plate with two clamped and two freely supported edges are under consideration. The Bubnov — Galerkin method is used to calculate the first eigenvalues, and the first eigenvalue in the case of a single trial function is calculated with an error smaller than 1%. The results are compared with known data, and eigenforms are given.

中文翻译：

---

具有混合边界条件的矩形板的自然振动

摘要

正在考虑具有两个夹紧边缘和两个自由支撑边缘的矩形板的自然振动。Bubnov-Galerkin方法用于计算第一特征值，在单试函数的情况下计算第一特征值，误差小于1%。将结果与已知数据进行比较，并给出特征形式。