中南大学学报（自然科学版）2011，Vol.42Issue(5)：1413-1418,6.
单向变厚度Levy型薄板的自由振动分析
Free vibration of Levy-plate with uni-directionally varying thickness
摘要
Abstract
Based on vibration theory, a new solution method for natural frequency of free vibration of Levy-plate with uni-directionally varying thickness was established by substituting an unknown function into the four-order partial differential equation of vibration with variable coefficients, and then the second Volterra integral equation was solved with quadratic spline function.The results show that the new method has the lowest natural frequency of three Levy-plates with different boundary conditions, verifying that this new solution method is reliable and simple with sufficient accuracy and can be applied for analyzing free vibration of Levy-plate with uni-directionally varying rigidity.关键词
Levy型薄板/自由振动/固有频率/二次样条函数/变厚度分类
建筑与水利引用本文复制引用
苏淑兰,饶秋华,王银邦..单向变厚度Levy型薄板的自由振动分析[J].中南大学学报（自然科学版）,2011,42(5):1413-1418,6.基金项目
国家自然科学基金资助项目(20476106,50721003) （20476106,50721003）
