振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2014年
10期
131-136
,共6页
孙靖雅%华宏星%肖锋%刘兴天%黄修长
孫靖雅%華宏星%肖鋒%劉興天%黃脩長
손정아%화굉성%초봉%류흥천%황수장
隔振系统%力传递率%阻尼%几何非线性
隔振繫統%力傳遞率%阻尼%幾何非線性
격진계통%력전체솔%조니%궤하비선성
vibration isolation system%force transmissibility%damping%geometric nonlinear
为提高系统隔振性能,研究摩擦阻尼在几何非线性条件下产生的迟滞阻尼(结构阻尼)对力传递特性影响。区别于传统单自由度隔振系统,采用含基础质量影响的两自由度无约束隔振系统模型进行阻尼力特性研究。用平均法求解运动方程,获得系统频率-响应幅值方程,以此导出系统力传递率及力位移传递率表达式。理论结果表明,质量、阻尼与激励频率为影响传递率主要因素。与粘滞阻尼相比,迟滞阻尼隔振效果更好,不仅能降低共振区响应,亦能改善高频区隔振性能。对运动方程进行扫频激励下数值仿真,获得力传递特性数值解。结果显示仿真结果与理论结果吻合良好,几何非线性阻尼隔振系统具有良好隔振性能。
為提高繫統隔振性能,研究摩抆阻尼在幾何非線性條件下產生的遲滯阻尼(結構阻尼)對力傳遞特性影響。區彆于傳統單自由度隔振繫統,採用含基礎質量影響的兩自由度無約束隔振繫統模型進行阻尼力特性研究。用平均法求解運動方程,穫得繫統頻率-響應幅值方程,以此導齣繫統力傳遞率及力位移傳遞率錶達式。理論結果錶明,質量、阻尼與激勵頻率為影響傳遞率主要因素。與粘滯阻尼相比,遲滯阻尼隔振效果更好,不僅能降低共振區響應,亦能改善高頻區隔振性能。對運動方程進行掃頻激勵下數值倣真,穫得力傳遞特性數值解。結果顯示倣真結果與理論結果吻閤良好,幾何非線性阻尼隔振繫統具有良好隔振性能。
위제고계통격진성능,연구마찰조니재궤하비선성조건하산생적지체조니(결구조니)대력전체특성영향。구별우전통단자유도격진계통,채용함기출질량영향적량자유도무약속격진계통모형진행조니력특성연구。용평균법구해운동방정,획득계통빈솔-향응폭치방정,이차도출계통력전체솔급력위이전체솔표체식。이론결과표명,질량、조니여격려빈솔위영향전체솔주요인소。여점체조니상비,지체조니격진효과경호,불부능강저공진구향응,역능개선고빈구격진성능。대운동방정진행소빈격려하수치방진,획득력전체특성수치해。결과현시방진결과여이론결과문합량호,궤하비선성조니격진계통구유량호격진성능。
To improve performances of a vibration isolation system,the influence of hysteretic damping caused by friction damping under nonlinear geometric condition on the force transmissibility of the system was investigated.Being different from the traditional single DOF vibration isolation model,an unconstrained 2-DOF vibration isolation model was built,containing the influence of the base mass.Its motion equation was solved by using the averaging method to get the frequency-amplitude equation. Then the expressions of the force transmissibility and the force-displacement transmissibility of the system were derived.It was shown that mass,damping and excitation frequency are the dominant parameters to influence the transmissibility;comparing to linear viscous damping,the hysteretic damping has a better performance to isolate vibration,it not only suppresses the resonance responses,but also improves the isolation performances at high frequencies.At last,a numerical solution of the force transmissibility for the motion equation with frequency-sweeping force excitation was calculated.The results showed that the simulation results agree well with the theorectical ones,the vibration isolation system with geometric nonlinear hysteretic damping has a better performance of vibration isolation.