本文選題：多體系統(tǒng)動(dòng)力學(xué) + 曲梁　； 參考：《振動(dòng)工程學(xué)報(bào)》2016年05期

【摘要】：從連續(xù)介質(zhì)力學(xué)非線性位移-應(yīng)變關(guān)系出發(fā),導(dǎo)出計(jì)入應(yīng)力剛化效應(yīng)的柔性梁變形能表達(dá)式。利用哈密頓變分原理和浮動(dòng)框架有限元方法(Finite Element Method of Floating Frame of Reference,簡記為FEMFFR)導(dǎo)出了勻速轉(zhuǎn)動(dòng)非慣性系中曲梁的動(dòng)力學(xué)方程。通過數(shù)值仿真分析了曲梁的旋轉(zhuǎn)軟化(Spin Softening)和應(yīng)力剛化(Stress Stiffening)效應(yīng),并與ANSYS軟件仿真結(jié)果進(jìn)行了對比,從結(jié)構(gòu)動(dòng)力學(xué)特征值角度驗(yàn)證了基于連續(xù)介質(zhì)力學(xué)非線性位移-應(yīng)變關(guān)系為高速旋轉(zhuǎn)曲梁引入應(yīng)力剛化效應(yīng)的方法的正確性。由于曲梁結(jié)構(gòu)不再像直梁結(jié)構(gòu)那樣擁有獨(dú)立的縱向和橫向振動(dòng)模態(tài),為此討論了改進(jìn)的Craig-Bampton模態(tài)綜合法在一般運(yùn)動(dòng)曲梁系統(tǒng)中的應(yīng)用及其縮減策略,為利用浮動(dòng)框架有限元方法建立滿足基于小變形假設(shè)的高速旋轉(zhuǎn)柔性曲梁動(dòng)力學(xué)模型提供了參考。
[Abstract]:Based on the nonlinear displacement-strain relationship in continuum mechanics, the deformation energy expression of flexible beam with stress hardening effect is derived. By using the Hamiltonian variational principle and the finite element method of floating frame of reference (FEMFFR), the dynamic equations of curved beams in a uniform rotational non-inertial frame are derived. The spin softening and stress hardening effects of curved beams are analyzed by numerical simulation, and the results are compared with those of ANSYS software. Based on the nonlinear displacement-strain relationship in continuum mechanics, the method of introducing stress stiffening effect into high-speed rotating curved beams is verified from the point of view of structural dynamics eigenvalues. Since curved beam structures no longer have independent longitudinal and transverse vibration modes as straight beam structures, the application of the improved Craig-Bampton modal synthesis method to general moving curved beam systems and its reduction strategy are discussed. It provides a reference for the establishment of dynamic model of high speed rotating flexible curved beam based on the assumption of small deformation by using the finite element method of floating frame.
【作者單位】： 南京理工大學(xué)發(fā)射動(dòng)力學(xué)研究所;
【基金】：國家自然科學(xué)基金資助項(xiàng)目(11102089) 江蘇省研究生培養(yǎng)創(chuàng)新計(jì)劃基金資助項(xiàng)目(CXZZ12-0177)
【分類號】：O313.7
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本文編號：2083341