【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)的空間柔性梁變形能表達(dá)式。利用浮動框架有限元方法和哈密頓變分原理推導(dǎo)了滿足小變形假設(shè)的空間曲梁的一般運(yùn)動動力學(xué)方程,并利用模態(tài)縮減法對動力學(xué)方程進(jìn)行了維數(shù)降階。所推導(dǎo)的動力學(xué)方程可用于高速旋轉(zhuǎn)一般運(yùn)動空間柔性曲梁動力學(xué)問題的求解。通過數(shù)值仿真討論了應(yīng)力剛化效應(yīng)對大范圍運(yùn)動小變形空間柔性曲梁動力學(xué)特性的影響,并與ADAMS軟件和ABAQUS軟件的仿真結(jié)果進(jìn)行了對比,指出了ADAMS軟件在高速旋轉(zhuǎn)柔性多體系統(tǒng)數(shù)值計(jì)算方面的一些缺陷。所提出的計(jì)及應(yīng)力剛化效應(yīng)的空間曲梁動力學(xué)建模方法為高速旋轉(zhuǎn)一般運(yùn)動柔性多體系統(tǒng)動力學(xué)建模和分析提供了參考。
[Abstract]:Based on the nonlinear displacement-strain relationship in continuum mechanics, the deformation energy expression of spatial flexible beam with stress hardening effect is derived. By using the finite element method of floating frame and Hamiltonian variational principle, the general dynamic equations of space curved beams satisfying the assumption of small deformation are derived, and the dimension of the dynamic equations is reduced by modal reduction method. The derived dynamic equations can be used to solve the dynamic problems of flexible curved beams in general space of high speed rotation. The effect of stress stiffening on the dynamic characteristics of flexible curved beams in large motion and small deformation space is discussed by numerical simulation. The results are compared with the simulation results of ADAMS and ABAQUS software. Some defects of ADAMS software in numerical calculation of flexible multibody system with high speed rotation are pointed out. The dynamic modeling method of space curved beam considering stress stiffening effect provides a reference for dynamic modeling and analysis of flexible multi-body system with high speed rotation.
【作者單位】： 南京理工大學(xué)發(fā)射動力學(xué)研究所;
【基金】：國家自然科學(xué)基金(11102089) 江蘇省研究生培養(yǎng)創(chuàng)新計(jì)劃基金(CXZZ12_0177)資助
【分類號】：O313.7

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