共查询到18条相似文献，搜索用时 234 毫秒
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RLC电路弹簧耦合系统的非线性振动 总被引：3，自引：2，他引：3
为研究RLC电路弹簧耦合系统的非线性振动,通过拉格朗日-麦克斯韦方程,建立了受到简谐激励作用具有平方非线性的RLC电路弹簧耦合系统的数学模型。应用非线性振动的多尺度法,得到一种内共振和一种双重共振的一次近似解,并进行数值分析。讨论了激励、调谐参数等对系统的影响。发现在内共振2ω≈21ω,双重共振2ω≈2ω1且Ω≈1ω两种情况下,系统具有丰富的动力学现象。 相似文献
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应用弹性理论和Galerkin方法建立Winkler地基梁在温度场中受简谐激励作用的非线性动力方程,应用非线性振动的多尺度法,求得系统主参数共振的近似解。分析不同参数对主参数共振响应曲线的影响。 相似文献
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在弹性梁与磁弹性力学理论的基础上,应用动力学方法建立电磁场和温度场耦合作用下的载流梁的非线性热磁弹性耦合振动方程。应用Galerkin法导出了系统受电磁力和热力共同作用的非线性振动微分方程组。通过数值计算,给出了不同系统参数下的系统振动的时程图和相图。 相似文献
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研究非线性地基上圆形薄板受简谐激励的非线性振动问题。按照弹性力学理论建立非线性地基上圆形薄板受简谐激励的动力学方程,利用Galerkin方法将其转化为非线性振动方程,该方程是马休型方程。应用非线性振动的多尺度法求得系统主参数共振的近似解,并进行数值计算。分析阻尼、地基系数、几何参数等对共振响应曲线的影响。 相似文献
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为了研究温度场中非线性地基上矩形薄板受简谐激励的1/3次亚谐共振问题,应用弹性力学理论建立其动力学方程,应用Galerkin方法将其转化为非线性振动方程。利用非线性振动的多尺度分析方法求得系统1/3次亚谐共振的近似解,并进行数值计算。分析温度、地基系数、阻尼、几何参数、激励等对系统3次超谐共振的影响。得到了随参数变化响应曲线的变化规律。 相似文献
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Winkler地基上四边自由矩形薄板的1/3次亚谐共振与混沌分析 总被引：1，自引：0，他引：1
研究Winkler地基上四边自由矩形薄板的复杂运动,按照弹性力学理论建立Winkler地基上四边自由受简谐激励作用矩形薄板的动力学方程;利用Galerkin方法将其转化为非线性振动方程;应用非线性振动的多尺度法求得了系统满足1/3次亚谐共振情况时的一次近似解,并进行数值计算;分析激励、调谐值、阻尼等对系统响应曲线的影响;应用Floquet理论分析了系统的稳定性问题;应用Melnikov方法得到了系统可能产生混沌运动的条件。 相似文献
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弹性地基上四边自由矩形大挠度薄板的自由振动 总被引：1，自引：0，他引：1
考虑具有粘滞阻尼的Winkler地基上四边自由受简谐激励的矩形板的偏微分方程组,找到了满足所有边界条件的近似挠度函数,利用Galerkin方法把偏微分方程表示的非线性动力学方程转化为用常微分方程表示的非线性动力学方程。在KBM法的基础上,引入谐波平衡的观点研究了弹性地基上四边自由无阻尼矩形板自由振动,应用Hamiltonion函数研究了系统能量与周期的关系。 相似文献
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The influence of the change of structure plane size on seismic response was studied for a soil-structure interaction system. Based on the finite element method, a soil-structure interaction calculation model was established to analyze the seismic response by changing the structure plane size and choosing different earthquake waves for different soil fields. The results show that when the natural periods of vibration for different structure plane sizes are close, under the same earthquake wave, the total displacement on the top layer of the structure and the foundation rotation displacement decrease with the increase of structure plane size, and the proportion of superstructure elastic selfdeformation displacement to the total displacement increases with the increase of structure plane size. While for different types of sites and seismic waves, under the horizontal and vertical seismic waves, the seismic responses of different plane sizes have a similar change rule. 相似文献
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Shaking table test of pile-water-pier superstructure 总被引：1，自引：1，他引：0
The model test of seismic simulation shaking table is an important method to study the seismic design of bridge structure. In order to evaluate the seismic response and dynamic characteristics of pile-water-pier system for developing more reliable design procedures, shaking table model tests of a submerged bridge pier system, including pile groups-cap-pier and inertia mass, were conducted. Since different similitude laws corresponding to different test objectives affected the validity of test results, the similitude law with the aim to consider the effect of hydrodynamic pressure was proposed and confirmed through an actual example. Based on the test results, the effect of water around model on seismic response under seismic excitation input was analyzed and the failure level was judged by observing the variation of basic frequency. The test results indicate that the transfer function of analytical model with water is different from that without water, the natural frequency without water is always higher than that with water, and the first modal shapes are various. It is also concluded that the similitude law is suitable for practical application and the dynamic characteristics and seismic response of the structure system can be changed because of the existence of the surrounding water, which should be paid much attention in the further investigation. 相似文献
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A friction damper device (FDD) is used for vibration control of an existing steel jacket platform under seismic excitation.
First, the damping is presented for vibration mitigation of structures located in seismically active zones. A new method for
quick design of friction or yielding damping devices is presented. The effectiveness of the damping system employing such
FDDs in a jacket platform is evaluated numerically. The influence of key parameters of the damping system on the vibration
suppression of the offshore structure is studied in detail. To examine the vibration control effectiveness of the FDD for
the jacket platform, performance of the controlled structure under the seismic forces is studied using numerical simulations.
A parametric study is undertaken to discover the optimized slip load and brace area of the FDD. It is shown that the FDD is
effective in mitigating the dynamic responses of the offshore platform structure. 相似文献
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李克杰 《马钢职工大学学报》2013,(1):38-42
以结构基本自振周期的变化率作为自变量,构造识别精度较高的对数函数,将其作为结构损伤的表征量,借助有限元分析设计软件ETABS对14层钢筋混凝土纯剪力墙结构进行数值模拟,揭示了地震波属性（峰值速度与加速度之比）、结构高宽比及等效损伤位置、损伤程度对整体结构抗震性能的影响规律,提出了适用于RC剪力墙结构剩余抗震能力的评价模型。 相似文献
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研究目的：求斛双圆盘转了-密封系统的非线性振动特性和运动响应 创新要点：采用有限元法（FEM）和拉格朗目方程求解双圆盘转子-密封系统,进而为研究多级转了系统的非线性振动问题提供有效方法。研究方法：基于有限元法（FEM）和拉格朗目方程。同时利用四阶龙格-库塔法求解系统动特性运动响应情况,利用风岔图、时间历程图、轴心轨迹图、庞加莱映射和幅值谱等分析图研究双圆盘转子-密封系统的非线性振动特性。重要结论：随着转速的增大,双圆盘转子-密封系统呈现丰富的非线性运动形式,包括周期性运动、多周期运动,准周期运动以及混沌运动。在右端圆盘不平衡质量小于34kg、密封间隙范围为0.376mm-0.54mm、密封长度大于0.13m或者密封压差高于0.104MPa的情况下均有利于提高双圆盘转子-密封系统的稳定性。 相似文献