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给出不确定性激励下的动态响应边界--一种非随机振动分析方法 被引量:4
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作者 姜潮 刘宁宇 +1 位作者 倪冰雨 韩旭 《力学学报》 EI CSCD 北大核心 2016年第2期447-463,共17页
提出了一种非随机振动分析方法,可给出系统在不确定性激励下的动态响应边界,从而为实验信息相对缺乏的不确定性振动分析及未来的可靠性设计提供一种新的计算工具.采用非概率凸模型过程而非传统的随机过程描述不确定性动态激励,仅需知道... 提出了一种非随机振动分析方法,可给出系统在不确定性激励下的动态响应边界,从而为实验信息相对缺乏的不确定性振动分析及未来的可靠性设计提供一种新的计算工具.采用非概率凸模型过程而非传统的随机过程描述不确定性动态激励,仅需知道激励在任意时刻点的边界信息而非精确概率分布,从而有效降低对大样本量的依赖性.针对单自由度和多自由度系统,建立了相应的非随机振动分析算法,以求解系统在不确定性动态激励下的响应区间;另外,也给出了蒙特卡罗仿真方法,为非随机振动提供一种最为一般的分析工具.最后,通过3个数值算例验证了本文方法的有效性.非随机振动分析方法可以作为传统随机振动理论的补充,在工程不确定性结构动力学分析及结构可靠性设计领域发挥作用. 展开更多
关键词 非随机振动 不确定性激励 动态响应边界 凸模型过程 动态不确定性
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不确定性移动载荷激励下弹性简支梁的动态响应边界分析及应用 被引量:5
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作者 段民封 姜潮 +1 位作者 李金武 倪冰雨 《计算力学学报》 EI CAS CSCD 北大核心 2020年第1期34-41,共8页
不确定性移动载荷激励下的弹性梁振动是土木、机械和航空航天等工程领域普遍存在的一类重要问题。在许多实际工程中,不确定移动载荷的样本测试数据有限或测试成本较高,本文引入区间过程模型对此类动态不确定性参数进行描述,提出了一种... 不确定性移动载荷激励下的弹性梁振动是土木、机械和航空航天等工程领域普遍存在的一类重要问题。在许多实际工程中,不确定移动载荷的样本测试数据有限或测试成本较高,本文引入区间过程模型对此类动态不确定性参数进行描述,提出了一种求解不确定移动载荷激励下弹性梁振动响应边界的非随机振动分析方法。首先,介绍了确定性移动载荷激励下弹性梁的振动微分方程及其解析求解方法;其次,引入区间过程模型,以上下边界函数的形式对不确定性移动载荷进行度量,进而基于模态叠加法发展出弹性梁振动响应边界求解的非随机振动分析方法;最后,将上述非随机振动分析方法应用于车桥耦合振动问题。 展开更多
关键词 弹性梁 非随机振动分析 区间过程 不确定性移动载荷 动态响应边界
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简支矩形薄壁箱梁受不确定移动偏载作用的竖向振动响应研究
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作者 黄文建 刘放 +2 位作者 杨明发 李晨晖 邓蓉 《计算力学学报》 CAS CSCD 北大核心 2024年第4期769-774,共6页
针对工程中薄壁箱梁受不确定移动偏载作用的振动问题,给出了一种基于区间过程的求解简支矩形薄壁箱梁结构竖向振动响应边界的方法.基于修正Timoshenko梁理论、乌氏第二理论和箱梁畸变理论,求得了移动偏载作用下考虑截面扭转和畸变的简... 针对工程中薄壁箱梁受不确定移动偏载作用的振动问题,给出了一种基于区间过程的求解简支矩形薄壁箱梁结构竖向振动响应边界的方法.基于修正Timoshenko梁理论、乌氏第二理论和箱梁畸变理论,求得了移动偏载作用下考虑截面扭转和畸变的简支矩形薄壁箱梁受迫竖向振动解析解,通过引入区间过程描述移动偏载的不确定性,推导了简支矩形箱梁竖向振动响应边界的计算过程,分析了不确定性参数的相关性和荷载速度对简支矩形薄壁箱梁竖向振动响应的影响,与有限元计算结果对比验证了本文方法的正确性. 展开更多
关键词 简支矩形薄壁箱梁 移动偏载 区间过程 竖向振动 动态响应边界
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船舶推进轴系振动的不确定性分析 被引量:3
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作者 周慧慧 李增光 +2 位作者 李天匀 朱翔 李清盛 《中国舰船研究》 CSCD 北大核心 2023年第2期235-242,250,共9页
[目的]针对传统的船舶推进轴系确定性振动分析存在安全性与可靠性不足的问题,开展轴系在不确定性激励下的振动响应分析。[方法]采用基于非概率凸模型过程的非随机振动分析方法,以区间上下界的形式描述不确定性激励和振动响应,降低对大... [目的]针对传统的船舶推进轴系确定性振动分析存在安全性与可靠性不足的问题,开展轴系在不确定性激励下的振动响应分析。[方法]采用基于非概率凸模型过程的非随机振动分析方法,以区间上下界的形式描述不确定性激励和振动响应,降低对大量激励样本数据的依赖。与相关文献的计算结果对比,验证所编求解二自由度系统响应边界程序的正确性,并基于在此,探究轴系的不确定振动问题。[结果]当轴系受到螺旋桨[-30 N,30 N]的横向激励力激励时,在轴承处产生了量级约为10-6m的位移响应,表明轴系受到某一区间的激励,则必会产生某一区间的响应。[结论]将基于非概率凸模型过程的非随机振动分析方法应用于船舶推进轴系不确定性振动分析领域,可求得轴系受到不确定性激励时的振动位移响应边界,并可在激励样本较少的情况下为提高轴系系统动态响应预测的稳健性提供有益参考。 展开更多
关键词 推进轴系 轴系振动 不确定性激励 动态响应边界 非概率凸模型 非随机振动分析
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Influence of seismic input on response of Baihetan arch dam 被引量:3
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作者 徐强 陈健云 +1 位作者 李静 赵春风 《Journal of Central South University》 SCIE EI CAS 2014年第6期2437-2443,共7页
The dynamic responses of the arch dam including dam-foundation-storage capacity of water system,using two different earthquake input models,i.e.viscous-spring artificial boundary(AB)condition and massless foundation(M... The dynamic responses of the arch dam including dam-foundation-storage capacity of water system,using two different earthquake input models,i.e.viscous-spring artificial boundary(AB)condition and massless foundation(MF),were studied and analyzed for the 269 m high Baihetan arch dam under construction in China.By using different input models,the stress and opening of contraction joints(OCJs)of arch dam under strong shock were taken into consideration.The results show that the earthquake input models have slight influence on the responses including earthquake stresses and openings of contraction joints in different extents. 展开更多
关键词 seismic input openings of contraction joints massless foundation model viscous-spring artificial boundary condition arch dam
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Lateral static and dynamic characteristics of thin-walled box girder 被引量:1
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作者 甘亚南 周广春 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2009年第1期101-106,共6页
To analyze the static and dynamic behaviors of the thin-walled box girder in its lateral webs in consideration of shear lag effect and shear deformation, an approach based on the minimum potential principle is introdu... To analyze the static and dynamic behaviors of the thin-walled box girder in its lateral webs in consideration of shear lag effect and shear deformation, an approach based on the minimum potential principle is introduced in this paper. Both static and dynamic response equations as well as the corresponding natural boundary conditions of the box girder are deduced. Meanwhile, three generalized displacement functions: w (x) , U(x) and O(x) are employed and their differences in the calculus of variation are quantitatively investigated. The comparison of finite shell element results with analytical results of calculation examples validates the feasibility of the proposed approach. 展开更多
关键词 thin-walled box girder shear lag effect static and dynamic characteristics energy-variation principle
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Dynamic responses of a multilayer piezoelectric hollow cylinder under electric potential excitation 被引量:3
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作者 王惠明 陈云敏 丁皓江 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2005年第9期933-937,共5页
The dynamic responses of a multilayer piezoelectric infinite hollow cylinder under electric potential excitation were obtained. The method of superposition was used to divide the solution into two parts, the part sati... The dynamic responses of a multilayer piezoelectric infinite hollow cylinder under electric potential excitation were obtained. The method of superposition was used to divide the solution into two parts, the part satisfying the mechanical boundary conditions and continuity conditions was first obtained by solving a system of linear equations; the other part was obtained by the separation of variables method. The present method is suitable for a multilayer piezoelectric infinite hollow cylinder consisting of arbitrary layers and subjected to arbitrary axisymmetric electric excitation. Dynamic responses of stress and electric potential are finally presented and analyzed. 展开更多
关键词 AXISYMMETRIC Dynamic response MULTILAYER Hollow cylinder PIEZOELECTRIC
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Geometrically nonlinear dynamic response of stiffened plates with moving boundary conditions
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作者 MA NiuJing WANG RongHui +1 位作者 HAN Qiang LU YiGang 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2014年第8期1536-1546,共11页
An approach is presented to investigate the nonlinear vibration of stiffened plates.A stiffened plate is divided into one plate and some stiffeners,with the plate considered to be geometrically nonlinear,and the stiff... An approach is presented to investigate the nonlinear vibration of stiffened plates.A stiffened plate is divided into one plate and some stiffeners,with the plate considered to be geometrically nonlinear,and the stiffeners taken as Euler beams.Lagrange equation and modal superposition method are used to derive the dynamic equilibrium equations of the stiffened plate according to energy of the system.Besides,the effect caused by boundary movement is transformed into equivalent excitations.The first approximation solution of the non-resonance is obtained by means of the method of multiple scales.The primary parametric resonance and primary resonance of the stiffened plate are studied by using the same method.The accuracy of the method is validated by comparing the results with those of finite element analysis via ANSYS.Numerical examples for different stiffened plates are presented to discuss the steady response of the non-resonance and the amplitude-frequency relationship of the primary parametric resonance and primary resonance.In addition,the analysis on how the damping coefficients and the transverse excitations influence amplitude-frequency curves is also carried out.Some nonlinear vibration characteristics of stiffened plates are obtained,which are useful for engineering design. 展开更多
关键词 stiffened plates moving boundary nonlinear vibration primary parametric resonance and primary resonance the method of multiple scales
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