CAJ | 학술논문

针对基础激励下单边碰撞悬臂梁系统进行详细的实验研究。在实验中，测量悬臂梁自由端的响应信号以及碰撞力信号。从实验结果中可以看到在不同的激励频率下，系统响应会表现出周期运动和混沌运动。在混沌运动的功率谱中发现悬臂梁的高阶模态频率，而在周期运动时这一特征并不明显。利用集中质量法和碰撞条件建立该系统的动力学方程，并运用Runge-Kutta法直接积分得到系统的动力学响应。从时域和频域两方面分析比较仿真结果与实验结果，两者有较好的吻合度。
침대기출격려하단변팽당현비량계통진행상세적실험연구。재실험중，측량현비량자유단적향응신호이급팽당력신호。종실험결과중가이간도재불동적격려빈솔하，계통향응회표현출주기운동화혼돈운동。재혼돈운동적공솔보중발현현비량적고계모태빈솔，이재주기운동시저일특정병불명현。이용집중질량법화팽당조건건립해계통적동역학방정，병운용Runge-Kutta법직접적분득도계통적동역학향응。종시역화빈역량방면분석비교방진결과여실험결과，량자유교호적문합도。
A cantilever beam with unilateral collision under base excitation was investigated experimentally. The response of the free end of the cantilever beam and the impact force were measured. The results show that the system response exhibits periodic motion and chaotic motion for different excitation frequencies. The high order modal frequencies of the cantilever beam can be found in the power spectrum of the chaotic motion. But this phenomenon is not obvious in periodic motion. The dynamic equation of the system was established with the method of lumped mass and impact rule, and solved by means of the Runge-Kutta method. And the dynamical response of the system was obtained. The numerical results agree well with the experimental results in both time domain and frequency domain.