动力学与控制学报
動力學與控製學報
동역학여공제학보
Journal of Dynamics and Control
2015年
4期
288-292
,共5页
复合材料悬臂外伸板%高阶剪切理论%活塞理论%Hamilton原理%非线性动力学
複閤材料懸臂外伸闆%高階剪切理論%活塞理論%Hamilton原理%非線性動力學
복합재료현비외신판%고계전절이론%활새이론%Hamilton원리%비선성동역학
axially moving cantilever laminated plates%third-order plate theory%piston theory%Hamilton principle%nonlinear dynamics
研究了横向气动载荷和参数激励联合作用下复合材料悬臂外伸矩形板在伸出过程中的非线性动力学问题。根据 Reddy 的高阶剪切层合板理论,应用 Hamilton 原理建立了外伸板在横向气动力和参数激励作用下的非线性动力学方程,其中横向气动力采用一阶活塞气动力。然后应用 Galerkin 方法对系统偏微分形式的非线性方程进行离散,得到了一组时变系数的非线性动力学方程。在此方程的基础上,对复合材料悬臂外伸板进行了数值模拟分析,讨论了外伸速度对悬臂外伸板非线性动力学特性的影响。
研究瞭橫嚮氣動載荷和參數激勵聯閤作用下複閤材料懸臂外伸矩形闆在伸齣過程中的非線性動力學問題。根據 Reddy 的高階剪切層閤闆理論,應用 Hamilton 原理建立瞭外伸闆在橫嚮氣動力和參數激勵作用下的非線性動力學方程,其中橫嚮氣動力採用一階活塞氣動力。然後應用 Galerkin 方法對繫統偏微分形式的非線性方程進行離散,得到瞭一組時變繫數的非線性動力學方程。在此方程的基礎上,對複閤材料懸臂外伸闆進行瞭數值模擬分析,討論瞭外伸速度對懸臂外伸闆非線性動力學特性的影響。
연구료횡향기동재하화삼수격려연합작용하복합재료현비외신구형판재신출과정중적비선성동역학문제。근거 Reddy 적고계전절층합판이론,응용 Hamilton 원리건립료외신판재횡향기동력화삼수격려작용하적비선성동역학방정,기중횡향기동력채용일계활새기동력。연후응용 Galerkin 방법대계통편미분형식적비선성방정진행리산,득도료일조시변계수적비선성동역학방정。재차방정적기출상,대복합재료현비외신판진행료수치모의분석,토론료외신속도대현비외신판비선성동역학특성적영향。
This paper studied the nonlinear dynamics of deploying cantilever laminated composite plates subjec-ted to transversal aerodynamic pressures and in-plane excitations.The first-order piston theory was employed to model the transversal air pressures.Based on Reddy′s third-order shear deformable plate theory and Hamilton Principal,the nonlinear governing equations of motion were established for the deploying cantilever laminated composite plates.By choosing suitable vibration mode-shape functions,the two-degree-of-freedom nonlinear gov-erning equations of motion with time-varying coefficients were deduced by using Galerkin method.The influences of varying deploying velocities on the nonlinear resonance of the deploying cantilever plate were analyzed.