| 地基-非线性结构相互作用体系的主共振与分叉 |
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| 引用本文： | 姜忻良,谷岩.地基-非线性结构相互作用体系的主共振与分叉[J].地震工程与工程振动,2000,20(3):22-27. |
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| 作者姓名： | 姜忻良 谷岩 |
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| 作者单位： | 天津大学建筑工程学院，天津 300072 |
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| 基金项目： | 国家自然科学基金!（59778041） |
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| 摘 要： | 本文考虑上部结构的恢复力为双线型模型，地基上简化为集中参数模型，运用平均法研究相互作用体系的主共振，得到主共振的定数解并讨论其稳定性。文中导出相互作用体系的分叉方程，并根据厅异性理论给出开折参数平面下的分叉图和转迁集，讨论不同物理参数域内系统的振动行为并通过算例得到一些定性的结论。
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| 关 键 词： | 非线性 主共振 分叉 相互作用体系 地基 |
| 文章编号： | 000-1301(2000)03-0022-06 |
Research on primary resonance and bifurcation of soil-nonlinear structure interaction system |
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| JIANG Xin-liang,GU Yan.Research on primary resonance and bifurcation of soil-nonlinear structure interaction system[J].Earthquake Engineering and Engineering Vibration,2000,20(3):22-27. |
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| Authors: | JIANG Xin-liang GU Yan |
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| Abstract: | In this paper, A bilinear stiffness model of the material of the super-structure is taken as a restoring force, and a lumped parameter model is used to simulate the viscoelastic halfspace. The average method is used to study the primary resonance of the soil-nonlinear structure interaction system. A steady-state solution of the primary resonance is obtained and the stability of the solution is discussed. Then the bifurcate equation and bifurcate diagram are gained. In different physical parameters the dynamic behaviors of the system are analysed. Some conclusions are drawn through the analyses of numerical examples. |
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| Keywords: | nonlinear primary resonance bifurcate interaction system |
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