数学
振动
系列(地层学)
数学分析
边值问题
GSM演进的增强数据速率
运动(物理)
广义相对论的精确解
工作(物理)
运动方程
偏微分方程
经典力学
物理
计算机科学
声学
地质学
热力学
电信
古生物学
作者
Moshe Eisenberger,Aharon Deutsch
标识
DOI:10.1016/j.jsv.2019.03.024
摘要
The equation of motion for thin rectangular plate was formulated in its correct form about 200 years ago. Exact solution, for some cases, and high accuracy solution for few more cases, have been obtained along the years since. For several other cases, high accuracy solutions were composed of separate solutions for symmetric and anti-symmetric cases. In this work a new high accuracy solution, that covers all the possible combinations is presented. It is obtained by using carefully chosen series that solve the partial differential equations of motion, for all possible combinations of edge conditions. Examples of the new solutions are given and compared with approximate solutions for these cases.
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