山西建筑
山西建築
산서건축
SHANXI ARCHITECTURE
2012年
5期
63-65
,共3页
舒适度%矩形薄板%振动微分方程%自振频率%边界条件
舒適度%矩形薄闆%振動微分方程%自振頻率%邊界條件
서괄도%구형박판%진동미분방정%자진빈솔%변계조건
comfortableness%rectangular thin plate%natural differential equation%natural vibration frequency%boundary condition
从弹性薄板的基本振动微分方程出发,利用可以满足各边边界条件的振型函数,根据能量法推导出四边支承六种不同边界条件的矩形薄板的最低自振频率计算公式,为楼板结构的自振频率计算和舒适性设计提供了指导。
從彈性薄闆的基本振動微分方程齣髮,利用可以滿足各邊邊界條件的振型函數,根據能量法推導齣四邊支承六種不同邊界條件的矩形薄闆的最低自振頻率計算公式,為樓闆結構的自振頻率計算和舒適性設計提供瞭指導。
종탄성박판적기본진동미분방정출발,이용가이만족각변변계조건적진형함수,근거능량법추도출사변지승륙충불동변계조건적구형박판적최저자진빈솔계산공식,위루판결구적자진빈솔계산화서괄성설계제공료지도。
Based on the vibration differential equation of elastic thin plates,the paper deduces six formulae for calculating the minimum natural vibration frquency of the rectangular thin plates with four edges supported under six boundary conditions,using the energy method and the vibration mode functions that meet with various boundary conditions.The paper aims to provide reference for natural vibration frequency calculation and comfortableness design of floor structural.
