共查询到20条相似文献，搜索用时 31 毫秒
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以温度场中斜梁受简谐激励的非线性振动方程为基础,应用非线性振动的多尺度法,求得非线性振动系统1/2亚谐-主参数共振的一次近似解,并进行定常解稳定性分析和数值计算.分析了温度、激励、几何尺寸对1/2亚谐-主参数共振幅频响应曲线的影响. 相似文献
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ＩＮＴＲＯＤＵＣＴＩＯＮＣａｂｌｅ ｓｔａｙｅｄｂｒｉｄｇｅｓａｒｅｗｉｄｅｌｙａｐｐｌｉｅｄｉｎｍｏｄｅｒｎｂｒｉｄｇｅｓｔｒｕｃｔｕｒａｌｓｙｓｔｅｍ .Ｔｈｅｌａｒｇｅｓｔｓｐａｎｏｆｃａｂｌｅ ｓｔａｙｅｄｂｒｉｄｇｅｉｓｃｌｏｓｅｔｏ 1 0 0 0ｍｗｈｅｎｍａｎｙｎｅｗｍａｔｅｒｉａｌｓａｎｄｔｅｃｈｎｏｌｏｇｉｅｓａｒｅａｐｐｌｉｅｄ.Ｔｈｅｓｔａｙｃａｂｌｅｓａｒｅｉｍｐｏｒｔａｎｔｂｒｉｄｇｅｓｔｒｕｃｔｕｒｅｃｏｍｐｏｎｅｎｔｓｍｏｓｔｐｒｏｎｅｔｏｅｘｈｉｂｉｔｈｉｇｈａｍｐｌｉｔｕ… 相似文献
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This paper presents a nonlinear dynamic model for simulation and analysis of a kind of parametrically excited vibration of
stay cable caused by support motion in cable-stayed bridges. The sag, inclination angle of the stay cable are considered in
the model, based on which, the oscillation mechanism and dynamic response characteristics of this kind of vibration are analyzed
through numerical, calculation. It is noted that parametrically excited oscillation of a stay cable with certain, sag, inclination
angle and initial static tension force may occur in cable-stayed bridges due to deck vibration under the condition that the
natural frequency of a cable approaches to about half of the, first model frequency of the bridge deck system. A new vibration
control system installed on the cable anchorage is proposed as a possible damping system to suppress, the cable parametric
oscillation. The numerical calculation results showed that with the use of this damping system, the cable oscillation due
to the vibration of the deck and/or towers will be considerably reduced.
Project supported by National Natural Science Foundation of China (No. 59978044) 相似文献
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戴丽玲 《昆明师范高等专科学校学报》2008,30(4):86-89
具有连续结构的等截面简支梁是分析振动现象的一种常用工具．应用理论分析和实验测试的方法对等截面简支梁进行动力学分析,可以找出该连续系统振动的固有频率、振幅、临界阻尼．通过分析系统振动的固有频率、振幅和临界阻尼,避免了对机构破坏最大的共振现象的发生,达到主动避振的目的．从等截面简支梁固有频率与固有振型入手,为我们分析复杂机构的振动提供了参考方法． 相似文献
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论述了一种抑制载重绳索参数激励横向振动的简便方法. 假设绳索底端的质量受到一个垂直简谐激励并忽略载重绳索高阶振型的影响, 载重绳索的运动方程可以用一个带有立方非线性项的Mathieu方程来描述. 根据Mathieu方程的有关理论, 在载重绳索系统中, 当索端质量垂直振动的频率接近绳索横向振动固有频率2倍时, 一旦索端质量垂直振动的幅度超过某个临界数值时, 绳索将产生参数共振. 为了避免这种现象, 建议在索端质量上加装一个减振器以削减索端质量的垂直振动, 进而抑制绳索的横向振动. 实验验证了该减振方案的有效性. 相似文献
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李跃 《昆明师范高等专科学校学报》2009,31(6):86-87,91
应用常规动态理论对重型车辆系统进行探测和跟踪过程的解析分析,把重型车辆系统的动态方程变为一个广义和常规的基于基本特征参数、自然频率、阻尼系数并考虑了外部干扰的非线性二阶动态系统．解析解法是对过去一直在重型车辆系统上所做的时域和频域函数分析方法的完善和补充,它们提供了大量快速的规范和定量分析模式,并决定着动态重型车辆系统研究的质量和特性． 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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Nonlinear vibration can cause serious problems in long span cable-stayed bridges.When the internal resonance threshold is reached between the excitation frequency and natural frequency,large amplitudes occur in the cable.Based on the current situation of lacking corresponding constraint criteria,a model was presented for analyzing the dynamic reliability of coupling oscillation between the cable and tower in a cable-stayed bridge.First of all,in the case of cable sag,the d'Alembert principle is applied to studying the nonlinear dynamic behavior of the structure,and resonance failure interval of parametric oscillation is calculated accordingly.Then the dynamic reliability model is set up using the JC method.An application of this model has been developed for the preliminary design of one cable-stayed bridge located on Hai River in Tianjin,and time histories analysis as well as reliability indexes have been obtained.When frequency ratio between the cable and tower is approaching 1∶2,the reliability index is 0.98,indicating high failure probability.And this is consistent with theoretical derivation and experimental results in reference.This model,which is capable of computing the reliability index of resonance failure,provides theoretical basis for the establishment of corresponding rule. 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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应用拉格朗日方程,得到了柴油机轴系受简谐力作用的非线性振动微分方程。根据非线性振动的多尺度解法,求得系统满足1/3次亚谐共振情况的一次近似解,并对其进行数值计算。给出了1/3次亚谐共振存在区域,并分析外激励、调谐值、阻尼等对系统的影响。最后建立Simulink模型进行仿真分析。 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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为研究边界摩擦对碟簧隔振器力学性能的影响,基于能量守恒定律推导了在考虑边界摩擦时碟簧隔振器的载荷位移迟滞曲线公式.通过有限元分析与静载试验验证了该公式的正确性.在此基础上研究了边界摩擦对碟簧隔振器承载能力的影响,并通过动载试验研究了边界摩擦对碟簧隔振器的动态性能的影响.试验结果表明:边界摩擦可提供较大的阻尼,使得碟簧隔振器具有良好的阻尼特性,其阻尼比可达0.23;隔振器的耗能、动刚度和阻尼特性对加载幅值更为敏感,而对加载频率敏感度较小.该研究成果对碟簧隔振器设计具有重要的指导意义. 相似文献
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弹性地基上四边自由矩形大挠度薄板复杂运动研究 总被引：15，自引：1，他引：15
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。应用多尺度法求得了系统的主共振解,并对主共振解的静态分岔方程进行了奇异性分析。应用Floquet理论和Melnikov方法分析了系统的全局特性。 相似文献
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Based on phase-plane orbit analysis, the mathematical model of piecewise-smooth systems of multidegree-of-freedom under the mode coordinate is established. Approximate analytical solution under the physical coordinate of multi-degree-of-freedom self-excited vibration induced by dry friction of piecewise-smooth nonlinear systems is derived by means of average method, the results of which agree with those of the numerical solution. An effective and reliable analytical method investigating piecewise-smooth nonlinear systems of multi-degree-of-freedom has been given. Furthermore, this paper qualitatively analyses the curves about stationary amplitude versus rubbing velocity of hands and versus natural frequency of hands, and about angular frequency versus rubbing velocity of hands. The results provide a theoretical basis for identifying parameters of the system and the analysis of steady region. 相似文献
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以机械传动系统中的斜齿轮啮合为研究对象,在考虑时变刚度、齿侧间隙和啮合误差的情况下,建立了十自由度斜齿轮非线性振动数学模型。以斜齿轮结构参数作为灵敏度分析参数,采用数值分析方法分别研究了斜齿轮系统振动加速度均方根值对齿轮质量、支撑刚度和支撑阻尼的灵敏度。结果表明:主、被动轮横向（y向）振动对各参数敏感度较低,横向振动（x向）与被动轮扭转振动对质量参数、刚度参数、阻尼参数较为敏感,被动轮扭转振动受到阻尼的影响很大,灵敏度在扭转振动固有频率处变化较大。 相似文献
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对某大型水轮发电机转子轴系在发生两相线间突然短路时由电磁力矩引起的扭振进行了研究,探讨了由参数激励、强迫激励以及二者联合作用下轴系扭振共振的规律．首先应用有限元法求得了轴系扭振的前五阶固有频率及振型,接着求得了考虑多磁极（凸极）和振动偏心双重影响下的气隙磁场能量,进而求得了电磁力矩的表达式．应用电机耦联系统的能量法,建立了轴系扭振共振时的一阶近似方程,并对稳态解进行了幅频特性分析,最后计算了轮系的动态应力．研究结果表明,两相线间突然短路时电磁转矩很大,并且其中的100Hz成分与轴系扭振的第二阶固有频率101．182Hz很接近,极剔］起共振,造成破坏,必须设法避免． 相似文献