波形钢腹板PC连续箱梁桥自振频率分析与试验研究

来源期刊:中南大学学报(自然科学版)2016年第4期

论文作者:冀伟 刘世忠 蔺鹏臻

文章页码:1297 - 1305

关键词:波形钢腹板;连续箱梁桥;能量变分法;振动频率;模型试验

Key words:corrugated steel web; continuous box girder bridge; energy variation principle; vibration frequency; model test

摘    要:为精确计算波形钢腹板PC连续箱梁桥的自振频率,在综合考虑箱梁剪力滞效应、波形钢腹板剪切模量修正及其剪切变形的影响下,综合运用能量变分法与Hamilton原理,推导获得该桥型自由弯曲振动的控制微分方程。在给定的自然边界条件下,运用分段联立法求得波形钢腹板PC两跨连续箱梁桥自由弯曲振动频率的计算公式。制作了两跨等截面模型试验梁,采用DHDAS动态信号测试分析系统对其动力特性进行实测,并运用ANSYS有限元软件对试验梁的动力特性进行分析。运用所得计算公式求得试验梁的自由弯曲振动频率,将其与实测值及有限元分析结果进行对比,三者吻合良好,验证计算公式的可靠性。最后采用理论公式和有限元仿真对波形钢腹板PC连续箱梁桥自振频率的影响参数进行分析。研究结果表明:波形钢腹板的剪切变形对其自由弯曲振动频率的影响较大,而横隔板数量对其扭转振动频率的影响较大,本文所得结论可为同类桥梁自振频率的分析与计算提供依据。

Abstract: In order to calculate the nature vibration frequencies accurately for the continuous box girder bridge with corrugated steel webs (CSWs), considering the shear lag of the box girder, shear modulus correction and the shear deformation effect of CSWs, the governing differential equations of the nature bending vibration frequencies were established by means of the energy variation principle and Hamilton principle. The formulas of the nature bending vibration frequencies of the two-span continuous box girder bridge with CSWs were obtained under the corresponding natural conditions by use of the subsection simultaneous method. The two-span indoor model test girder was fabricated. The dynamic characteristics of test girder was measured by use of the DHDAS dynamic signal test and also analyzed by use of ANSYS finite element software. Combined with the results of the ANSYS finite element model (FEM) analysis and the indoor model test, the validity of the formulas were proved. Finally, the influence parameters of nature vibration frequencies for this type of bridge were analyzed by use of the theoretical formulas and FEM. The results show that the shear deformation of CSWs has significantly influence on the nature bending vibration frequencies of the PC box girder with CSWs, while the number of diaphragm has significantly influence on the torsional vibration frequencies of this type bridge. The results can provide reference for the calculation of the nature vibration frequencies of the similar bridges.

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