CAJ | 학술논문

为了揭示含索铰可折展桁架的非线性动力学行为，建立了考虑铰链间隙、刚度和阻尼及索非线性特性的可折展桁架纯弯曲动力学模型。对非线性动力学方程进行一次泰勒展开和参量的多次谐波描述，实现了非线性动力学方程到代数方程的转化，通过迭代进行非线性动力学系统的响应计算。并利用龙格库塔方法对非线性系统进行数值分析，与增量谐波平衡（IHB）法进行对比，验证了IHB法计算的正确性。以激振频率为变化参数，对悬臂支撑的含索铰桁架结构进行解的稳定性分析，得到铰链间隙、铰链刚度、激振力和索对结构响应稳定性的影响。基于IHB法可快速准确的进行多自由度可折展结构动力学求解，为研究大型折展桁架的动力学行为奠定了基础。
위료게시함색교가절전항가적비선성동역학행위，건립료고필교련간극、강도화조니급색비선성특성적가절전항가순만곡동역학모형。대비선성동역학방정진행일차태륵전개화삼량적다차해파묘술，실현료비선성동역학방정도대수방정적전화，통과질대진행비선성동역학계통적향응계산。병이용룡격고탑방법대비선성계통진행수치분석，여증량해파평형（IHB）법진행대비，험증료IHB법계산적정학성。이격진빈솔위변화삼수，대현비지탱적함색교항가결구진행해적은정성분석，득도교련간극、교련강도、격진력화색대결구향응은정성적영향。기우IHB법가쾌속준학적진행다자유도가절전결구동역학구해，위연구대형절전항가적동역학행위전정료기출。
A purely bending dynamic model considering clearance,stiffness and damping of joints and nonlinear cables was established to show the nonlinear dynamic characteristics of jointed deployable structures.Taylor series expansion of variables for the nonlinear differential equation and harmonic description of parameters were used to convert the nonlinear dynamic equation to a nonlinear algebraic one.The dynamic response of a deployable structure was computed with the iteration method.The numerical analysis with Runge-Kutta method for a deployable structure was performed,its results were compared with those using the incremental harmonic balance (IHB)method.The comparison showed the correctness of the IHB method.The IHB method was used to analyze the response stability for a deployable structure when exciting frequency changed using the nonlinear dynamic model.The stability of the deployable structure response was presented in a frequency range when clearance and stiffness of joints,exciting force and cable changed.It was shown that the IHB method is very effective for dynamic analysis of deployable structures with multi-DOF,and it provided a basis for further study of large-scale deployable structures with joints and cables.