| 横向磁场中导电圆柱壳体的超谐波共振 |
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| 引用本文： | 胡宇达,赵将.横向磁场中导电圆柱壳体的超谐波共振[J].机械强度,2011,33(1):11-14. |
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| 作者姓名： | 胡宇达 赵将 |
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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
2. 燕山大学,建筑工程与力学学院,秦皇岛,066004;南京航空航天大学,振动工程研究所,南京,210016 |
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| 基金项目： | 河北省自然科学基金(E2010001254); 河北省教育厅自然科学项目(Z2006118)资助~~ |
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| 摘 要： | 研究磁场环境中受机械载荷作用圆柱薄壳的三阶超谐波共振问题.在给出横向磁场和机械动载共同作用下圆柱薄壳的振动方程基础上,应用伽辽金积分法,并进行无量纲化处理,进一步导出相应的非线性磁弹性振动微分方程.采用多尺度法对三阶超谐波共振问题进行求解,得到稳态运动下的幅频响应方程与解的稳定性判别式.通过算例,给出几种情况下反映振幅...
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| 关 键 词： | 磁弹性 圆柱薄壳 超谐波共振 稳定性 多尺度法 |
SUPERHARMONIC RESONANCES OF CONDUCTIVE THIN CYLINDRICAL SHELL UNDER TRANSVERSE MAGNETIC FIELD |
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| HU YuDa,ZHAO Jiang.SUPERHARMONIC RESONANCES OF CONDUCTIVE THIN CYLINDRICAL SHELL UNDER TRANSVERSE MAGNETIC FIELD[J].Journal of Mechanical Strength,2011,33(1):11-14. |
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| Authors: | HU YuDa ZHAO Jiang |
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| Affiliation: | HU YuDa1 ZHAO Jiang1,2(1.School of Civil Engineering and Mechanics,Yanshan University,Qinhuangdao 066004,China)(2.Institute of Vibration Engineering Research,Nanjing University of Aeronautics andAstronautics,Nanjing 210016,China) |
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| Abstract: | The 3-order superharmonic resonances of a thin cylindrical shell in an applied magnetic field subjected to mechanical loadings were studied.The vibration equations of the thin cylindrical shell under a uniform transverse magnetic field and mechanical loadings were obtained.Based on the Galerkin method and the dimensionless treatment,the nonlinear magnetoelastic vibration differential equation was derived.The 3-order superharmonic resonances were analyzed by the multiple scales method.The amplitude-frequency... |
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| Keywords: | Magnetoelastic Thin cylindrical shell Superharmonic resonance Stability Multiple scales method |
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