速度导纳 meaning in English
velocity mobility
Examples
- 3 . by comparing the available theories corresponding to plane strain model and winkler model with the solutions developed in this paper , the applicability of the two models is analyzed and checked . the comparison involves many aspects such as local soil stiffness , dynamic stiffness and time domain response at the pile head , and some important conclusions are made
3 、将基于平面应变简化假定和winkler模型的桩振动理论解与本文严格理论解对比，分析校验了平面应变简化假定和winkler模型在桩基振动理论应用中的适用性，具体比较范围涉及土层对桩的局部复阻抗、桩顶幅频响应、速度导纳、桩顶复刚度、桩顶时域响应等方面，并得到若干重要结论。 - With the consideration of the vertical wave effect of soil and soil - pile interaction , an approximate analytical solution to vertical vibration of pile system with variable impedance in visco - elastic layered soil is developed . a simplified and practical mathematical model for interaction between soil layers is proposed , and its applicability is theoretically investigated . based on this model and by using laplace transforms and the transmit property of impedance function , the analytical expression of the impedance function and solutions of the displacement and velocity response function in frequency domain and in time domain at the pile head are derived
4 、从三维轴对称土模型出发，对考虑桩土耦合作用、土层层间联系以及桩周土竖向应力梯度变化条件下的成层粘弹性土中完整桩及变阻抗桩系统纵向振动问题进行了研究，提出了成层土中变阻抗桩系统纵向振动问题的近似解析解法和桩周土层层间相互作用的简化而实用的数学模型，并利用拉氏变换和阻抗函数的传递性，获得了成层土中任意段变阻抗桩桩顶阻抗函数的解析表达式，以及桩顶速度导纳和时域速度响应解析解和半解析解。 - Based on the solutions proposed herein , the longitudinal vibration properties of an integral pile in a uniform soil or layered soil , a pile with variable sections or variable modulus in a uniform soil are discussed respectively . the influence on the curves of complex stiffness , mobility and reflection wave of pile caused by soil modulus , the degree of pile defects , and the length and location of pile defects are emphatically discussed . 3
利用所得解分别对均质土中完整桩、成层土中完整桩、均质土中变截面桩和均质土中变模量桩的纵向振动特性进行了分析，重点讨论了土层模量变化、桩身缺陷程度、缺陷段位置、缺陷段长度等因素对桩顶复刚度、速度导纳和反射波曲线的影响。 - With laplace transforms , the question can be solved in laplace domain . with the aid of impedance transmit functions , an analytical solution for the impedance function in laplace domain is yielded , so is the corresponding analytical solution for the impedance function in frequency domain , semi - analytical solution of velocity response in time - domain subjected to a semi - sine exciting force and mobility at the level of the pile head
利用拉普拉斯变换，将定解问题转化到拉普拉斯域内求解，结合阻抗函数的传递性，得到了拉普拉斯域内的桩顶阻抗函数解析解，进而得到了频域内的桩顶阻抗函数解析解、半正弦脉冲激振力作用下的速度时域响应半解析解和速度导纳。 - Thus the resistance factor and vibration modes of the soil layer are obtained and used to analysis the pile response . by considering the interaction between the soil layer and the pile with boundary condition of continuity of displacement and equilibrium of force at the interface of soil layer and pile , the dynamic equilibrium equation of pile is solved and an analytical solution for the pile response in frequency domain is yielded , which is used to define complex stiffness and mobility at the level of the pile head . based on the convolution theorem and inverse fourier transform , a semi - analytical solution of velocity response in time - domain subjected to a semi - sine exciting force is given
首先通过引入势函数方法对土体位移进行分解，从而将土体动力平衡方程解耦，求解得到了土层的振动模态和阻抗因子，然后利用该解以小应变条件下桩土接触面上力平衡和位移连续条件来考虑桩土耦合作用，求解桩的动力平衡方程，得到了桩顶的频域响应解析解、复刚度和速度导纳，利用卷积定理和傅里叶逆变换，求得了半正弦脉冲激振力作用下桩顶速度时域响应半解析解。