摘要
本文基于多自由度体系的随机过程分析的振型分解法，首先推导了结构动力可靠度分析相关参数的计算公式，据此采用Fortran程序设计语言，编制《PMDK动力可靠度分析程序》，其次采用无约束的规划求解方法，推导了车辆荷载概率分布模型的参数求解方法，并结合某大跨旧桥实际车辆分布具体观测数据，得到了本文计算的概率模型。最后运用《PMDK动力可靠度分析程序》计算了该桥在实际车辆荷载作用下的可靠度，研究了动力可靠度与位移之间的关系，以及不同截面位置的动力可靠度的变化规律，研究了阻尼和弹性模量变化对大跨旧桥动力可靠度的影响，研究了时间变化对其的影响、结构单侧及双侧可靠度的变化规律，并且通过蒙特卡罗法的分析，验证了上述结论的准确性。
Abstract
Based on an analysis of random process with modal analysis method, formulas of related parameters for an analysis of structural dynamic reliability have been derived first in the paper, accordingly, prepares “the PMDK dynamic reliability analysis program” by Fortran programming language. Next, Some parameters for vehicular load probability distribution model have been derived by a method of unconstrained planning, Combining with an observation data for vehicle distribution at a long-span old bridge, the author has obtained the model in this paper. Finally, author has calculated a dynamic reliability for the long-span old bridge under a specific vehiclar load by the program, studied a relationship between dynamic reliability and displacement as well as sectional position and influences of damping and elastic modulus on its dynamic rerliability. Meanwhile the author also has studied a relationship between dynamic reliability and time and influences of structural unilateral and bilateral reliability.At last all aboved conclusions have been confirmed by Monte Carlo method.
关键词
动力可靠度 程序 无约束的规划问题 荷载分布 首超机制 振型分解法 蒙特卡罗法
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Key words
Dynamic reliability /
Program /
Unconstrained planning problems /
Load distribution /
First excess mechanism /
Modal analysis method /
Monte Carlo Method
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孟阳君 周先雁.
车辆荷载作用下的大跨旧桥动力可靠度分析研究[J]. 振动与冲击, 2013, 32(11): 155-160
Meng Yangjun Zhou Xianyan.
Research on Long-Span Old Bridge’s Dynamic Reliability Under Vehicular [J]. Journal of Vibration and Shock, 2013, 32(11): 155-160
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脚注
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