全埋入单桩基础横向振动模态正交性研究
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国家自然科学基金(51268031,11662007);甘肃省基础研究创新群体(145RJIA332)


Orthogonality of Transverse Vibration Modes of Single, Fully-Embedded Piles
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    摘要:

    采用Timoshenko梁模型作为挠曲波在全埋入单桩基础中的传播模型,根据频域中全埋入单桩基础横向振动时的运动微分方程,结合各节点的力平衡、位移协调方程及局部对偶坐标系中内力及位移的对偶变换关系,严格推导全埋入单桩基础横向振动的模态正交性条件。以回传射线矩阵法为基础,求解全埋入单桩基础横向振动的自振频率、衰减系数及不同自振频率所对应的模态,并通过具体算例验证全埋入单桩基础横向振动模态的正交性条件公式推导的正确性。

    Abstract:

    The Timoshenko beam model was used as the flexural wave propagation model in a single, fully-embedded pile. Based on the differential equation of transverse vibration of single, fully-embedded piles in a frequency domain, combined with the force balance and displacement compatibility equations of nodes and the dual transformation of the internal forces and displacements in two local dual coordinate systems, the orthogonality conditions of transverse vibration modes of a single, fully-embedded pile were derived. By virtue of the reverberation-ray matrix method, the natural frequencies, attenuation coefficients, and modes corresponding to different natural frequencies for a single, fully-embedded pile were solved. A specific case study is proposed to verify the correctness of the orthogonality conditions of modes.

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付艳艳,余云燕.全埋入单桩基础横向振动模态正交性研究[J].地震工程学报,2020,42(4):833-839. FU Yanyan, YU Yunyan. Orthogonality of Transverse Vibration Modes of Single, Fully-Embedded Piles[J]. China Earthquake Engineering Journal,2020,42(4):833-839.

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  • 收稿日期:2018-12-11
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  • 在线发布日期: 2020-08-18