本文選題：多體系統(tǒng)動力學 + 曲梁�。� 參考：《振動工程學報》2016年05期

【摘要】：從連續(xù)介質(zhì)力學非線性位移-應變關系出發(fā),導出計入應力剛化效應的柔性梁變形能表達式。利用哈密頓變分原理和浮動框架有限元方法(Finite Element Method of Floating Frame of Reference,簡記為FEMFFR)導出了勻速轉(zhuǎn)動非慣性系中曲梁的動力學方程。通過數(shù)值仿真分析了曲梁的旋轉(zhuǎn)軟化(Spin Softening)和應力剛化(Stress Stiffening)效應,并與ANSYS軟件仿真結(jié)果進行了對比,從結(jié)構動力學特征值角度驗證了基于連續(xù)介質(zhì)力學非線性位移-應變關系為高速旋轉(zhuǎn)曲梁引入應力剛化效應的方法的正確性。由于曲梁結(jié)構不再像直梁結(jié)構那樣擁有獨立的縱向和橫向振動模態(tài),為此討論了改進的Craig-Bampton模態(tài)綜合法在一般運動曲梁系統(tǒng)中的應用及其縮減策略,為利用浮動框架有限元方法建立滿足基于小變形假設的高速旋轉(zhuǎn)柔性曲梁動力學模型提供了參考。
[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】： 南京理工大學發(fā)射動力學研究所;
【基金】：國家自然科學基金資助項目(11102089) 江蘇省研究生培養(yǎng)創(chuàng)新計劃基金資助項目(CXZZ12-0177)
【分類號】：O313.7
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本文編號：2083341