發(fā)布時(shí)間：2018-06-07 05:52

  本文選題：圓環(huán)板 + 面內(nèi)自由振動(dòng)　； 參考：《計(jì)算力學(xué)學(xué)報(bào)》2016年05期

【摘要】：基于二維線彈性理論,應(yīng)用哈密頓原理導(dǎo)出彈性約束邊界圓環(huán)板面內(nèi)自由振動(dòng)的控制微分方程。采用微分求積法(DQM)數(shù)值研究了彈性約束邊界圓環(huán)板面內(nèi)自由振動(dòng)的頻率特性。通過設(shè)置彈性剛度系數(shù)為0或∞,問題退化為四種典型邊界圓環(huán)板的面內(nèi)自由振動(dòng),與已有文獻(xiàn)的計(jì)算數(shù)值結(jié)果進(jìn)行比較,證實(shí)本文的分析求解方法行之有效。最后全面考慮了圓環(huán)板邊界條件、幾何系數(shù)及剛度系數(shù)對(duì)自振頻率的影響。
[Abstract]:Based on the two-dimensional linear elasticity theory, the governing differential equations for the free vibration in the plane of a circular ring with elastic constraints are derived by applying the Hamiltonian principle. By using differential quadrature method (DQM), the frequency characteristics of the free vibration in the plane of a circular ring plate with elastic constraints are studied numerically. By setting an elastic stiffness coefficient of 0 or 鈭，

本文編號(hào)：1990079