| 载流圆板的磁弹性随机振动 |
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| 引用本文： | 王平,李晓靓,白象忠.载流圆板的磁弹性随机振动[J].机械强度,2012(3):322-326. |
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| 作者姓名： | 王平 李晓靓 白象忠 |
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| 作者单位： | 1. 燕山大学建筑工程与力学学院,秦皇岛066004;中国科学院力学研究所国家非线性力学重点实验室(LNM),北京100080
2. 燕山大学建筑工程与力学学院,秦皇岛,066004 |
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| 基金项目： | 国家自然科学基金，河北省自然科学基金，国家非线性力学重点实验室(LNM)开放课题基金资助 |
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| 摘 要： | 分析载流圆板在磁场中的磁弹性随机振动问题。根据薄板、薄壳体的磁弹性运动方程和连续体的随机振动理论,导出在磁场环境中圆板的磁弹性随机振动方程。对磁场中的载流圆板进行随机响应分析,得到圆板位移响应的自相关函数、功率谱密度函数及均值函数等数字特征。通过具体算例,对处于外加磁场中通入平稳随机电流的导电圆板,计算其位移响应的功率谱密度函数。
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| 关 键 词： | 随机振动 圆板 磁弹性 功率谱密度函数 |
RANDOM VIBRATION OF A CURRENT CARRYING CIRCULAR PLATE IN MAGNETIC FIELD |
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| WANG Ping
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LI XiaoJing
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BAI XiangZhong.RANDOM VIBRATION OF A CURRENT CARRYING CIRCULAR PLATE IN MAGNETIC FIELD[J].Journal of Mechanical Strength,2012(3):322-326. |
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| Authors: | WANG Ping LI XiaoJing BAI XiangZhong |
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| Affiliation: | 1 (1.College of Civil Engineering and Mechanics,Yanshan University,Qinhuangdao 066004,China)(2.State Key Laboratory of Nonlinear Continuum Mechanics(LNM),Institute of Me chanics, Chinese Academy of Sciences,Beijing 100080,China) |
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| Abstract: | The magnetic-elastic random vibration problem of a current-carrying circular p late in a magnetic field is studied.Based on the magneto-elastic theory and th e random vibration theory of a continue system with distributed parameters,the magneto-elastic random vibration equation of a current carrying circular plate in a magnetic field was derived.The stochastic response analysis of the circula r plate in a magnetic field was finished.The auto-correlation function,power spectral density function and the mean function of the random displacement respo nse of the circular plate in a magnetic field were obtained.In a specific examp le,the power spectral density function of the displacement response of the circ ular plate with stationary random current was calculated. |
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| Keywords: | Random vibration Circular plate Magneto-elasticity Power spectral density function |
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