佳木斯大学学报（自然科学版）
佳木斯大學學報（自然科學版）
가목사대학학보（자연과학판）
JOURNAL OF JIAMUSI UNIVERSITY (NATURAL SCIENCE EDITION)
2014年
3期
360-363
,共4页
桩土相互作用%纵向振动%平面应变%导纳%时域响应
樁土相互作用%縱嚮振動%平麵應變%導納%時域響應
장토상호작용%종향진동%평면응변%도납%시역향응
pile-soil interaction%longitudinal vibration%plain strain%admittance%time domain response
基于土体的运动方程，研究了均质各向同性土体中部分埋入桩的纵向振动问题。利用拉普拉斯变换，求得了土体纵向振动位移形式解。根据桩土系统衔接条件和边界条件，得到了桩段1顶部阻抗函数的拉普拉斯变换域解。根据阻抗函数递推原理，傅里叶逆变换和卷积定理，求得了桩顶速度导纳的解析解和半正弦脉冲作用下桩顶速度时域响应的半解析解。最后，通过参数分析研究了桩土系统主要参数对桩顶动力响应的影响。结果表明，上部桩段长度对桩顶速度导纳和速度时域响应有着明显的影响。
基于土體的運動方程，研究瞭均質各嚮同性土體中部分埋入樁的縱嚮振動問題。利用拉普拉斯變換，求得瞭土體縱嚮振動位移形式解。根據樁土繫統銜接條件和邊界條件，得到瞭樁段1頂部阻抗函數的拉普拉斯變換域解。根據阻抗函數遞推原理，傅裏葉逆變換和捲積定理，求得瞭樁頂速度導納的解析解和半正絃脈遲作用下樁頂速度時域響應的半解析解。最後，通過參數分析研究瞭樁土繫統主要參數對樁頂動力響應的影響。結果錶明，上部樁段長度對樁頂速度導納和速度時域響應有著明顯的影響。
기우토체적운동방정，연구료균질각향동성토체중부분매입장적종향진동문제。이용랍보랍사변환，구득료토체종향진동위이형식해。근거장토계통함접조건화변계조건，득도료장단1정부조항함수적랍보랍사변환역해。근거조항함수체추원리，부리협역변환화권적정리，구득료장정속도도납적해석해화반정현맥충작용하장정속도시역향응적반해석해。최후，통과삼수분석연구료장토계통주요삼수대장정동력향응적영향。결과표명，상부장단장도대장정속도도납화속도시역향응유착명현적영향。
Based on dynamic equation for soil medium , the vertical dynamic response of a pile embedded in a homogeneously isotropic soil was theoretically investigated .First, the vibration displacement solution of the soil was solved using the Laplace transform method .By virtue of the continuity and boundary conditions of the pile-soil system , the impedance function at the top of pile part 1 was obtained in the Laplace transform domain . Then by utilizing the transfer technique of impedance function , Fourier inverse transform and convolution theo-rem, the velocity admittance of the pile top was obtained in a closed form , and a semi-analytical solution for the velocity response of the pile top was defined in the time domain .Finally, numerical results were obtained to ana-lyze the influence of major parameters on the dynamic response .The results show that the length of upper pile part has obvious influence on the velocity admittance and time -domain velocity response .
