| 1. | The dynamic growth of mode crack in visco - elastic layer
型裂纹的动态扩展 |
| 2. | Secondly , using the perfectly bonded contact conditions between the layers , the delivery matrix between the electro - elastic layer and normal layer is worked out
再由层间连续条件，计算由压电层到一般层的传递矩阵。 |
| 3. | The pile is assumed to be vertical , elastic and of uniform cross - section , and the soil is regarded as a linear visco - elastic layer with hysteretic damping
假定桩为竖直弹性等截面体，土为线性粘弹性体，其材料阻尼为滞回阻尼。 |
| 4. | The visco - elasticity of material in the bottom of rock body led to decrease of stress with time in the bottom part and to increase of stress at some places of elastic layers
引入材料的黏弹性，导致了其中应力随时间迅速减小和弹性层某些部位应力随时间的增加。 |
| 5. | Three examples of different layer numbers and different putting methods of electro - elastic layers are given . the calculation of the frequencies of the electro - elastic and normal material plates is of some practical value
用mathematica编制相应的计算程序，给出算例，计算不同压电复合材料的振动频率，在实际应用中具有一定的价值。 |
| 6. | Using the fourier transform due to boundary conditions of simply support , solutions of a single magneto - electro - elastic layer in the form of initial state vector and transfer matrix are obtained in fourier transform space from the state vector equations
对状态变量方程进行fourier变换，得到了状态变量表示的单层压电压磁弹性层合板在fourier变换空间中的解，导出了多层压电压磁弹性层合板的表达式。 |
| 7. | The analytic solutions of isotropic elastic layered soil under axisymmetrical , rectangular and strip loads were derived from the basic equations of isotropic elastic mechanics by means of transfer - matrix method . by the result , can easily calculate the additional stress and settlement in layered soil . but these solutions could not properly assess the errors from the elastomer of the bottom layer in foundation soil
从各向同性弹性力学基本方程出发，利用传递矩阵法推导出的多层弹性地基问题在轴对称荷载、矩形荷载和条形荷载作用下附加应力与沉降的解析解，可以方便地求出层状地基中的附加应力和沉降，而他们均没有考虑最下层弹性体计算深度引起的误差影响。 |
| 8. | 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。 |
| 9. | 5 . based on the solutions developed herein , the main features of the interaction between visco - elastic layered soil and an integral pile or a multi - defective pile are systematically analyzed . the influence on the vibration properties caused by soil modulus , the degree of pile defects , and the length and location of the defects are discussed , and many important conclusions are drawn
5 、利用所得解，对成层土中完整桩、变截面、变模量桩的振动特性进行了较系统的分析，并重点讨论了土层模量、桩身缺陷程度、埋身、缺陷段长度、激振频率等对桩项复刚度、桩顶反射波曲线、导纳曲线的影响，得到了许多重要结论。 |
| 10. | Using the analytic method of finite elastic layer to calculate the transmission of the ground vibration , we get the displacement - time curve , acceleration - time curve and transfer function spectrum of ground under moving load , and analyze the result . in practice engineering calculation , this method is wildly used
对于振动在地基中的传播采用分层法的解析算法，得到了地基土在移动荷载作用下的时程分析曲线、加速度变化曲线以及在不同地质条件下的传递函数反应谱等，并对计算结果进行了分析，在实际工程计算当中，这一方法也是广泛被采用的。 |
