对刚性物体撞水作用下的粘性流场分析 ,提出了一个 L aplace变换—边界元耦合方法。文中基于线性化的二维 Navier-Stokes方程 ,首先利用 Lamb变换 ,在 L aplace变换域内将不可压粘性流体的控制方程化为求解相应的势函数和流函数 ,它们...对刚性物体撞水作用下的粘性流场分析 ,提出了一个 L aplace变换—边界元耦合方法。文中基于线性化的二维 Navier-Stokes方程 ,首先利用 Lamb变换 ,在 L aplace变换域内将不可压粘性流体的控制方程化为求解相应的势函数和流函数 ,它们分别满足 L aplace方程和 Helmholtz方程 ,采用边界元方法 ,获得了这两类方程的解答。然后 ,借助 L aplace数值逆变换方法 。展开更多
Based on the governing equation of vibration of a kind of cylindrical shells written in a matrix differential equation of the first order, a new matrix method is presented for steady-state vibration analysis of a nonc...Based on the governing equation of vibration of a kind of cylindrical shells written in a matrix differential equation of the first order, a new matrix method is presented for steady-state vibration analysis of a noncircular cylindrical shell simply sup- ported at two ends and circumferentially stiffened by rings under harmonic pressure. Its difference from the existing works by Yamada and Irie is that the matrix differential equation is solved by using the extended homogeneous capacity precision integration＇ approach other than the Runge-Kutta-Gill integration method. The transfer matrix can easily be determined by a high precision integration scheme. In addition, besides the normal interacting forces, which were commonly adopted by researchers earlier, the tangential interacting forces between the cylindrical shell and the rings are considered at the same time by means of the Dirac-δ function. The effects of the exciting frequencies on displacements and stresses responses have been investigated. Numerical results show that the proposed method is more efficient than the aforementioned method.展开更多
As a further development of the authors' work (Huang and Qian, 1993), in this paper a new numerical method based on the time domain boundary element technique is proposed for solving fluid-solid coupling problems,...As a further development of the authors' work (Huang and Qian, 1993), in this paper a new numerical method based on the time domain boundary element technique is proposed for solving fluid-solid coupling problems, in which a rigid body impacts normally on the calm surface of a half-space fluid. A fundamental solution to the half-space potential flow problem is first derived with the method of images. Then, an equivalent boundary integral equation in the Laplace transform domain is established by means of Green's second identity. Through the inverse Laplace transform and discretization in both time and boundary of the fluid region, the numerical calculation for the problem under consideration has been carried out. Several examples demonstrate that the present method is more efficient than existing ones, from which it is also seen that the shape of the impacting body has a considerable effect on the total impact force.展开更多
文摘对刚性物体撞水作用下的粘性流场分析 ,提出了一个 L aplace变换—边界元耦合方法。文中基于线性化的二维 Navier-Stokes方程 ,首先利用 Lamb变换 ,在 L aplace变换域内将不可压粘性流体的控制方程化为求解相应的势函数和流函数 ,它们分别满足 L aplace方程和 Helmholtz方程 ,采用边界元方法 ,获得了这两类方程的解答。然后 ,借助 L aplace数值逆变换方法 。
基金Project supported by the Doctoral Foundation of the National Education Ministry of China(No.20040487013)
文摘Based on the governing equation of vibration of a kind of cylindrical shells written in a matrix differential equation of the first order, a new matrix method is presented for steady-state vibration analysis of a noncircular cylindrical shell simply sup- ported at two ends and circumferentially stiffened by rings under harmonic pressure. Its difference from the existing works by Yamada and Irie is that the matrix differential equation is solved by using the extended homogeneous capacity precision integration＇ approach other than the Runge-Kutta-Gill integration method. The transfer matrix can easily be determined by a high precision integration scheme. In addition, besides the normal interacting forces, which were commonly adopted by researchers earlier, the tangential interacting forces between the cylindrical shell and the rings are considered at the same time by means of the Dirac-δ function. The effects of the exciting frequencies on displacements and stresses responses have been investigated. Numerical results show that the proposed method is more efficient than the aforementioned method.
基金National Defence Foundation of Science & Technology of China,Grant No.J14.8.1JW05National Key Project of China(No.PD9521907)
文摘As a further development of the authors' work (Huang and Qian, 1993), in this paper a new numerical method based on the time domain boundary element technique is proposed for solving fluid-solid coupling problems, in which a rigid body impacts normally on the calm surface of a half-space fluid. A fundamental solution to the half-space potential flow problem is first derived with the method of images. Then, an equivalent boundary integral equation in the Laplace transform domain is established by means of Green's second identity. Through the inverse Laplace transform and discretization in both time and boundary of the fluid region, the numerical calculation for the problem under consideration has been carried out. Several examples demonstrate that the present method is more efficient than existing ones, from which it is also seen that the shape of the impacting body has a considerable effect on the total impact force.
