Evaluating foundation mass, damping and stiffness by the least-squares method

S. H. Ju

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Evaluating foundation mass, damping and stiffness by the least-squares method

机译：用最小二乘法评估基础质量，阻尼和刚度

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This paper discusses how to use the three-dimensional (3D) time-domain finite-element method incorporating the least-squares method to calculate the equivalent foundation mass, damping and stiffness matrices. Numerical simulations indicate that the accuracy of these equivalent matrices is acceptable when the applied harmonic force of 1+sine is used. Moreover, the accuracy of the least-squares method using the 1+sine force is not sensitive to the first time step for inclusion of data. Since the finite-element method can model problems flexibly, the equivalent mass, damping and stiffness matrices of very complicated soil profiles and foundations can be established without difficulty using this least-squares method.

机译：本文讨论了如何使用结合最小二乘法的三维时域有限元方法来计算等效地基质量，阻尼和刚度矩阵。数值模拟表明，当使用1+正弦波施加的谐波力时，这些等效矩阵的精度是可以接受的。此外，使用1+正弦力的最小二乘法的准确性对包含数据的第一时间步阶并不敏感。由于有限元方法可以灵活地对问题建模，因此使用这种最小二乘法可以毫不费力地建立非常复杂的土壤剖面和地基的等效质量，阻尼和刚度矩阵。

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来源
《Earthquake Engineering & Structural Dynamics》 |2003年第9期|p.1431-1442|共12页
作者
S. H. Ju;
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作者单位

Department of Civil Engineering, National Cheng-Kung University, Tainan 70101, Taiwan;

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原文格式 PDF
正文语种 eng
中图分类地球物理学;
关键词
damping; finite-element method; foundation; least-squares method; mass; soil; stiffness;

机译：阻尼;有限元法;地基;最小二乘法;质量;土壤;刚度;

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2. Vibration of a beam on continuous elastic foundation with nonhomogeneous stiffness and damping under a harmonically excited mass [J] . S.G. Koroma, M.F.M. Hussein, J.S. Owen Journal of Sound and Vibration . 2014,第9期

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3. A Review of Available Methods for the Assessment of Fluid Added Mass, Damping, and Stiffness With an Emphasis on Hydraulic Turbines [J] . Arash Soltani Dehkharqani, Jan-Olov Aidanpaa, Fredrik Engstrom, Applied Mechanics Reviews: An Assessment of the World Literature in Engineering Sciences . 2018,第1a6期

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4. Evaluation of un- and reloading stiffness and damping of monopile foundations in non-cohesive soils [C] . Jann-Eike Saathoff, Klaus Thieken, Martin Achmus International Ocean and Polar Engineering Conference . 2019

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5. Deterministic and stochastic responses of smart variable stiffness and damping systems and smart tuned mass dampers. [D] . Sonmez, Ertan. 2010

机译：智能可变刚度和阻尼系统以及智能调谐质量阻尼器的确定性和随机响应。
6. Dynamic stiffness and damping of human intervertebral disc using axial oscillatory displacement under a free mass system [O] . O. Izambert, D. Mitton, M. Thourot, 2003

机译：自由质量系统下利用轴向振动位移的椎间盘动态刚度和阻尼。
7. Vibration of a beam on continuous elastic foundation with nonhomogeneous stiffness and damping under a harmonically excited mass [O] . Koroma S.G., Hussein M.F.M., Owen J.S. 2014

机译：连续弹性基础上梁的振动，具有不均匀的刚度和在谐波激励下的阻尼
8. Methods for Determining Modal Parameters and Mass,Stiffness and Damping Matrices. [R] . keller,charles l. 1978

机译：确定模态参数和质量，刚度和阻尼矩阵的方法。

Evaluating foundation mass, damping and stiffness by the least-squares method

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