含电流变体砂浆复合梁结构振动固有频率的理论研究
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摘要
以修正的RL线弹簧模型为基础,通过定义等效裂纹长度,建立了含电流变体的砂浆复合悬臂梁的振动模型,并得到理论计算复合梁频率的特征方程。根据实验数据确定模型的参数,并编制MATLAB程序来模拟含电流变体的砂浆悬臂梁随电场强度变化时自振频率的变化规律。研究结果表明,该模型的模拟值与实验值吻合得较好,尤其对一阶频率的模拟效果最好。本项研究为电流变体在实际工程结构振动控制领域的应用奠定了实验和理论基础。
Based on the revised line-spring(RL) model,a vibration model of a mortar cantilever beam with electrorheological fluid is reconstructed to calculate the eigenfrequencies by defining an equivalent crack length on the beam.Parameters of the model with various field-strengths and various frequencies are identified with test data and dicussed.Modeling is carried out with the MATLAB software to get the relation between the natural frequencies of the beam and the infensity of the electric field.The comparison between the experimental data and the predicted values by the simulation indicate that the proposed model is able to accurately describe the changing of frequencies due to different electric field-intensity,expecially for the first natural frequency.This study gives an experimental and theoretical basis for the application of ER fluid to vibration control in engineering structures.
Based on the revised line-spring(RL) model,a vibration model of a mortar cantilever beam with electrorheological fluid is reconstructed to calculate the eigenfrequencies by defining an equivalent crack length on the beam.Parameters of the model with various field-strengths and various frequencies are identified with test data and dicussed.Modeling is carried out with the MATLAB software to get the relation between the natural frequencies of the beam and the infensity of the electric field.The comparison between the experimental data and the predicted values by the simulation indicate that the proposed model is able to accurately describe the changing of frequencies due to different electric field-intensity,expecially for the first natural frequency.This study gives an experimental and theoretical basis for the application of ER fluid to vibration control in engineering structures.
引文
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4鲁宏权,周文晋,孟光.电流变液夹层圆柱壳声振性能实验研究[J].振动与冲击,2003,22(2):35—39
5逯静洲,李庆斌.含电流变体的复合砂浆梁振动特性实验研究[J].地震工程与工程振动,2004,24(6):97—102
6逯静洲,李庆斌.电流变体-砂浆复合梁结构的振动特性研究[J].地震工程与工程振动,2005,25(1):54—57
7 Lu jingzhou,L i Q ingb in.Dynam ic perform ance of cantilevermortar beam s w ith embedded electrorheological flu ids[A].IMAC XX III Conference&Exposition on Structural Dynam ics[C].Jan.31-Feb.3,2005,O rlando,F lorida USA
8 Gudmundson P.E igenfrequency changes of structures due tocracks,notches or other geom etrical changes.Journal of the M e-chan ics and Physics of Solids,1982,30(5):339—353
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10陈梦成,汤任基.一种裂纹梁振动响应分析的近似方法[J].应用数学和力学,1997,18(3):203—209
2瞿伟廉,项海帆.ER智能材料在结构振动控制中的应用[J].地震工程与工程振动,1998,18(3):49—54
3 Choi Y,Sprecher A F,Conrad H.V ibration characteristics of acomposite beam contain ing an electrorheological flu id.Journal of In-telligentM aterial System s and Structures,1990,1:91—104
4鲁宏权,周文晋,孟光.电流变液夹层圆柱壳声振性能实验研究[J].振动与冲击,2003,22(2):35—39
5逯静洲,李庆斌.含电流变体的复合砂浆梁振动特性实验研究[J].地震工程与工程振动,2004,24(6):97—102
6逯静洲,李庆斌.电流变体-砂浆复合梁结构的振动特性研究[J].地震工程与工程振动,2005,25(1):54—57
7 Lu jingzhou,L i Q ingb in.Dynam ic perform ance of cantilevermortar beam s w ith embedded electrorheological flu ids[A].IMAC XX III Conference&Exposition on Structural Dynam ics[C].Jan.31-Feb.3,2005,O rlando,F lorida USA
8 Gudmundson P.E igenfrequency changes of structures due tocracks,notches or other geom etrical changes.Journal of the M e-chan ics and Physics of Solids,1982,30(5):339—353
9 R ice J R,Levy N.Part-through surface crack in an elastic p late[J].Journal of App lied M echan ics,1972,39:185—194
10陈梦成,汤任基.一种裂纹梁振动响应分析的近似方法[J].应用数学和力学,1997,18(3):203—209
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