水平层状场地自振频率的剪切质点系法研究

›› 2009, Vol. 30 ›› Issue (8): 2489-2494.

水平层状场地自振频率的剪切质点系法研究

邓亚虹^1-3，夏唐代³，彭建兵^{1, 2}，李喜安^{1, 2}，黄强兵^{1, 2}

1. 长安大学西部矿产资源与地质工程教育部重点实验室，西安 7100541；2. 长安大学国土资源部岩土工程开放研究实验室，西安 7100541； 3. 浙江大学土木工程学系岩土工程研究所，杭州 310027

收稿日期:2008-04-08 出版日期:2009-08-10 发布日期:2011-03-14
作者简介:邓亚虹，男，1978年生，博士，讲师，在站博士后，主要从事土动力学及岩土工程方面的研究工作，
基金资助:
国家自然科学基金重点项目（No. 40534021）；国家自然科学基金资助项目（No. 40772182）；中国博士后科学基金项目（No. 20080431256）；长安大学科技发展基金项目（No. 0305-1001）。

Research on shear particle system method of natural frequency of horizontal layered soils

DENG Ya-hong ^1-3，XIA Tang-dai³，PENG Jian-bing ^{1, 2}，LI Xi-an ^{1, 2}，HUANG Qiang-bing ^{1, 2}

1. Key Laboratory of Western China’s Mineral Resources and Geological Engineering, Ministry of Education, Chang'an University, Xi'an 710054, China; 2. Open Research Laboratory of Geotechnical Engineering, Ministry of Land and Resources, Chang'an University, Xi'an 710054, China; 3. Institute of Geotechnical Engineering, Zhejiang University, Hangzhou 310027, China

Received:2008-04-08 Online:2009-08-10 Published:2011-03-14

摘要/Abstract

摘要：

场地土层的自振频率是场地土的重要动力特性之一。为避免结构物与场地地基的共振效应，工程设施的固有频率应尽量避开地基的固有频率。在传统的基于集中质量矩阵的剪切质点系法（集中质量法）的基础上，发展了基于一致质量矩阵的剪切质点系法。在此基础上，对利用剪切质点系法求解水平层状场地自振频率的精度的影响因素进行了分析，主要考虑了土层分层特性、质量矩阵形式以及材料阻尼3个影响因素，分析表明：分层数越多，计算结果越接近真实解，从实际工程角度出发，分层数超过三层时可不再细分；在层数相等的情况下，层厚对计算结果精度的影响甚微；一致质量法的计算结果要优于集中质量法，且表现出上限解性质；在通常小阻尼情况下，阻尼对自振频率的影响很小。

关键词: 水平层状场地, 自振频率, 剪切质点系法

Abstract:

Natural frequency is one of the most important dynamic characteristics of field soil layers. In order to avoid the resonance between structure and ground, the natural frequency of engineering establishments should be different from that of ground. On the basis of traditional shear particle system method based on lumped mass matrix (lumped mass method), a new shear particle system method based on consistent mass matrix (consistent mass method) is developed. Then, influencing factors on computing precision of shear particle system method are analyzed. The three aspects of soil delamination, mass matrix form and material damping are mainly considered. The analysis indicates: the more layer numbers we divide, the more precise the results will be and from the standpoint of practice engineering, when layer number is more than three, a subdivision is needless; layer thickness has very small effect on computing results; the result of consistent mass method is superior to that of lumped mass method and has the property of upper bound solution; in small damping circumstance, the material damping has small influence on natural frequency.

Key words: horizontal layered soil, natural frequency, shear particle system method

中图分类号:

TU 352.12

邓亚虹，夏唐代，彭建兵，李喜安，黄强兵. 水平层状场地自振频率的剪切质点系法研究[J]. , 2009, 30(8): 2489-2494.

DENG Ya-hong，XIA Tang-dai，PENG Jian-bing，LI Xi-an，HUANG Qiang-bing. Research on shear particle system method of natural frequency of horizontal layered soils[J]. , 2009, 30(8): 2489-2494.

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