CAJ | 학술논문

应用类椭圆函数建立了非线性迟滞隔振系统的动力学模型,并导出了系统动力学模型的实用表达式.该模型由非线性刚度和非线性阻尼构造而成,模型中各个参数具有明确的物理意义,各阶刚度系数能很好地描述系统中存在的线性和非线性特性,而阻尼函数能很好地描述系统的迟滞和耗能特性.模型中含有待辨识的阻尼成分函数,该函数能反映系统中可能存在的高阶阻尼、粘性阻尼和干摩擦阻尼等各种阻尼成分.由于在模型中将阻尼项表示为位移的函数,因而减少了测量工作量,方便了数值计算.应用动力学模型重构了非线性迟滞隔振系统的恢复力-位移回线,结果表明理论回线与实验回线吻合得很好.
응용류타원함수건립료비선성지체격진계통적동역학모형,병도출료계통동역학모형적실용표체식.해모형유비선성강도화비선성조니구조이성,모형중각개삼수구유명학적물리의의,각계강도계수능흔호지묘술계통중존재적선성화비선성특성,이조니함수능흔호지묘술계통적지체화모능특성.모형중함유대변식적조니성분함수,해함수능반영계통중가능존재적고계조니、점성조니화간마찰조니등각충조니성분.유우재모형중장조니항표시위위이적함수,인이감소료측량공작량,방편료수치계산.응용동역학모형중구료비선성지체격진계통적회복력-위이회선,결과표명이론회선여실험회선문합득흔호.
In this paper, an ellipse - like function is defined firstly, then a dynamic model for nonlinear hysteretic vibration isolation system isproposed by using such function, and the practical expression of the system is deduced. The dynamic model is constructed by nonlinear stiff-ness and nonlinear hysteretic damping, all of the parameters in the model have specific meanings, the stiffness coefficients reflect the hnearand nonlinear characteristics, and the damping function describes the hysteretic anddissipative characteristics of the vibration isolation systemperfectly. The dynamic model contains a parameter called damping component function, which describes all kinds of damping componentsprobably existing in the vibration isolation system,such as friction damping, viscous damping and high- order one etc. Hence, the dynamicmodel can describe the hysteretic and dissipative characteristics more precisely; simultaneously, the term of nonlinear hysteretic dampingforce inthe dynamic model is expressed as the function of displacement, thus the model proposed in this paper decreases amount of measur-ing work, and simplifies the process of numerical calculations. The restoring force vs. displacement loops of the vibration isolation system arereconstructed by using the dynamic model proposed in this paper, The results show that the theoretic loops agree well with the correspondingexperimental loops.