波流联合作用下深水铰接塔平台的组合共振     

谢文会  唐友刚  陈予恕 《海洋技术学报》2005,24(4):89-93

研究了深水铰接塔平台在波流联合作用下的组合共振特性。将平台顶部工作单元简化为集中质量,塔柱和浮力仓简化为均匀直杆,建立了铰接塔平台运动分析模型。考虑海流和波浪对平台的作用,应用Morison公式计算铰接塔平台瞬时位置所受水动力,依据拉格朗日原理建立了铰接塔平台的强非线性运动方程。分别考虑波浪作用和波流联合作用,采用数值计算方法,计算了高400m、塔柱直径15m的浮力塔平台的多种组合共振响应。研究表明,波浪作用下平台将出现2vm＋vn组合共振,波流联合作用下平台将出现vm＋vn组合共振、2vm＋vn组合共振。  相似文献   

Winkler地基上材料非线性矩形薄板主参数共振-主共振研究     

杨志安  韩彦斌 《岩土力学》2006,27(Z2):733-738

研究Winkler地基上材料非线性矩形薄板的参数共振-主共振问题。建立Winkler地基上材料非线性矩形薄板的动力学方程。利用Galerkin方法将其转化为非线性振动方程。应用非线性振动的多尺度法求得系统满足主参数共振-主共振条件的近似解,并进行数值计算。分析激励、调谐值、阻尼系数、非线性参数、几何参数对共振响应曲线的影响。  相似文献   

类锂离子C^3 光电离过程的研究     

冯向华  马轩文 《测绘学院学报》2000,17(2):152-153,156

使用Ｒ－矩阵方法,采用三态密耦图像计算了类锂离子Ｃ＾３＋激发态１ｓ＾２２ｐ＾２Ｐ的光电离截面,并给出了不同过程及不同分波的截面。计算结果揭示了光电离过程中的Ｒｙｄｂｅｒｇ系列共振。  相似文献   

地基-非线性结构相互作用体系的主共振与分叉   总被引：2，自引：1，他引：1  

姜忻良  谷岩 《地震工程与工程振动》2000,20(3):22-27

本文考虑上部结构的恢复力为双线型模型,地基上简化为集中参数模型,运用平均法研究相互作用体系的主共振,得到主共振的定数解并讨论其稳定性。文中导出相互作用体系的分叉方程,并根据厅异性理论给出开折参数平面下的分叉图和转迁集,讨论不同物理参数域内系统的振动行为并通过算例得到一些定性的结论。  相似文献   

Complex site effects and building codes: Making the leap   总被引：1，自引：0，他引：1  

Francisco J. Chávez-García  Ezio Faccioli 《Journal of Seismology》2000,4(1):23-40

The engineering community is aware of the importance of site effects, but it lags behind seismological studies when it comes to incorporating site effect considerations in design spectra for seismic norms. This lag is reflected in the conspicuous fact that current building codes make allowance for 1D site effects but ignore complex site effects. The purpose of this paper is to explore a way for including complex site effects in a building code environment. We take as example Eurocode 8, which is a modern code that exemplifies the current approach to site effect consideration. We examine the restrictions that we have imposed to make the problem of a feasible size and discuss the approach we have taken. We propose a strategy to incorporate a class of complex site effects in a design elastic spectrum.  相似文献   

近场动力学理论在区域地面沉降建模中的应用研究     

张可  宫辉力  李小娟  朱琳  王彻  陈蓓蓓  和继军  郭琳  吕明苑  闫倩蒙  李江涛 《地球信息科学学报》2023,25(1):49-62

地面沉降是由自然和人类活动共同作用导致的缓变性地质灾害,是区域可持续发展的重要影响因素。以往地面沉降在建模时需要地裂缝等不连续结构的位置、走向、深度等信息,在构建微分方程模拟时需假设模型连续,这对开展地面沉降-地裂缝-地面塌陷一体化模拟带来一定的局限性。于2000年出现的近场动力学理论提出以积分形式描述材料受力过程,方法具有无需先验知识与连续性假设的优点,在材料的疲劳、损伤、断裂等模拟研究中展现出良好的应用前景。本文综述了其在岩石水力压裂、滑坡、饱水岩土材料等领域的研究进展;提出了应用近场动力学进行区域地面沉降建模求解的一般方法;结合InSAR技术获取的沉降信息、三维地震频谱谐振勘探技术获取的地下结构与密度信息等,提出了模型的反演调参与优化方法。以北京东部梨园-台湖镇-张家湾镇区域为实验区,建立了其4 km×6 km范围、0.2 km深度的近场动力学地面沉降模型,以实验区地下水位月均下降速率为边界条件,对2007—2010年地面沉降过程进行模拟。模拟结果与实测值的平均绝对误差为18 mm,表明近场动力学在地面沉降建模中有较好的适用性。  相似文献   

煤层瓦斯富集区核磁共振探测技术研究     

童雪瑞  姜志海  刘树才  李毛飞  王文闯 《地质论评》2024,70(S1):141-142

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Multiple resonance in one problem of the stability of the motion of a satellite relative to the center of mass     

A. P. Markeev 《Astronomy Letters》2005,31(9):627-633

We investigate the stability of the periodic motion of a satellite, a rigid body, relative to the center of mass in a central Newtonian gravitational field in an elliptical orbit. The orbital eccentricity is assumed to be low. In a circular orbit, this periodic motion transforms into the well-known motion called hyperboloidal precession (the symmetry axis of the satellite occupies a fixed position in the plane perpendicular to the radius vector of the center of mass relative to the attractive center and describes a hyperboloidal surface in absolute space, with the satellite rotating around the symmetry axis at a constant angular velocity). We consider the case where the parameters of the problem are close to their values at which a multiple parametric resonance takes place (the frequencies of the small oscillations of the satellite’s symmetry axis are related by several second-order resonance relations). We have found the instability and stability regions in the first (linear) approximation at low eccentricities.  相似文献   

Secular resonances in the asteroid belt: Theoretical perturbation approach and the problem of their location     

Alessandro Morbmelli  Jacques Henrard 《Celestial Mechanics and Dynamical Astronomy》1991,51(2):131-167

In this paper a theoretical perturbation approach to the problem of the dynamics in secular resonance is exposed. This approach avoids any expansion of the main term of the Hamiltonian (linear term in the masses) with respect to the eccentricity or the inclination of the asteroid, in order to achieve results valid for any value of these variables. Moreover suitable action-angle variables are introduced to take properly into account the dynamics related to the motion of the argument of perihelion of the asteroid, which is relevant at high inclination. A class of secular resonances wider than that usually considered is found. An explicit computation of the location of the main secular resonances, estimating also the contribution of the quadratic term in the masses by means of classical series expansion, is reported in the last sections. The accuracy of computations obtained by series expansion is discussed in the paper.  相似文献   

On one special case of parametric resonance in problems of celestial mechanics     

A. P. Markeev 《Astronomy Letters》2005,31(5):350-356

We consider a periodic (in time) linear Hamiltonian system that depends on a small parameter. At a zero value of this parameter, the matrix of the system is constant, has two identical pairs of purely imaginary roots, and is not reducible to diagonal form. Therefore, the unperturbed system is unstable. We propose an algorithm for determining the boundaries of the instability regions for the system at nonzero values of the small parameter. This algorithm was used to analyze the stability of triangular libration points in the elliptical restricted three-body problem and in the stability problem in one special case of stationary rotation of a satellite relative to the center of mass.  相似文献