A coupled Legendre-Laguerre polynomial method with analytical integration for the Rayleigh waves in a quasicrystal layered half-space with an imperfect interface

The Laguerre polynomial method has been successfully used to investigate the dynamic responses of a half-space.However,it fails to obtain the correct stress at the interfaces in a layered half-space,especially when there are significant differences in material properties.Therefore,a coupled Legendre-Laguerre polynomial method with analytical integration is proposed.The Rayleigh waves in a one-dimensional(1D)hexagonal quasicrystal(QC)layered half-space with an imperfect interface are investigated.The correctness is validated by comparison with available results.Its computation efficiency is analyzed.The dispersion curves of the phase velocity,displacement distributions,and stress distributions are illustrated.The effects of the phonon-phason coupling and imperfect interface coefficients on the wave characteristics are investigated.Some novel findings reveal that the proposed method is highly efficient for addressing the Rayleigh waves in a QC layered half-space.It can save over 99%of the computation time.This method can be expanded to investigate waves in various layered half-spaces,including earth-layered media and surface acoustic wave(SAW)devices.

An analytical variational method for the biased quantum Rabi model in the ultra-strong coupling regime

An analytical variational method for the ground state of the biased quantum Rabi model in the ultra-strong coupling regime is presented. This analytical variational method can be obtained by a unitary transformation or alternatively by assuming the form of the ground state wave function. The key of the method is to introduce a variational parameter λ,which can be determined by minimizing the energy functional. Using this method, we calculate the physical observables with high accuracy in comparison with the numerical exact ones. Our method evidently improves over the widely used general rotating-wave approximation（GRWA） in both qualitative and quantitative aspects.

An Analytical Method to Detect the Coupling Damage Relationship of Concrete Subjected to Bending Fatigue and Temperature Actions

Based on the assumptions validated by the experiments,an analytical method to detect the coupling actions of bending fatigue and temperature on concrete was proposed.To this purpose,a coefficient denoted by f D （T）with the strain distributions caused by these two actions was defined.In terms of the known parameters and the fitted functions of strain,the explicit expression for f D （T）which develops in the way same as the law of temperature change in the body of specimens was obtained.Our experimental results indicate that the weigh fraction of temperature stress decreases in the coupling damage field with the fading temperature gradient,and consequently disclose the mutual influence between these two types of actions in the loading history.

Approximate Analytical Solutions of Fractional Coupled mKdV Equation by Homotopy Analysis Method

In this paper, the approximate analytical solutions of the fractional coupled mKdV equation are obtained by homotopy analysis method (HAM). The method includes an auxiliary parameter which provides a convenient way of adjusting and controlling the convergence region of the series solution. The suitable value of auxiliary parameter is determined and the obtained results are presented graphically.

An iterative algorithm for analysis of coupled structural-acoustic systems subject to random excitations

This paper analyzes the random response of structural-acoustic coupled systems. Most existing works on coupled structural-acoustic analysis are limited to systems under deterministic excitations due to high computational cost required by a random response analysis. To reduce the computational burden involved in the coupled random analysis, an iterative procedure based on the Pseudo excitation method has been developed. It is found that this algorithm has an overwhelming advantage in computing efficiency over traditional methods, as demonstrated by some numerical examples given in this paper.

ELASTO-PLASTIC COUPLED ANALYSIS OF BURIED STRUCTURE AND SOIL MEDIUM BY PERTURBATIONAL SEMI-ANALYTIC METHOD

In this paper, an effective numerical method for physically nonlinear interaction analysis is studied, in which the elasto-plastic problem of coupled analysis between the structure and medium may be transformed into several linear problems by means of the perturbation technique, then, the finite strip method and finite layer method are used to analyze the underground structure and rock medium, respectively, for their corresponding linear problems, so the purpose of simplifying the calculation can be achieved. This kind of method has made use of the twice semi-analytical technique: the perturbation and semi-analytic solution function to simplify 3-D nonlinear coupled problem into 1-D linear numerical one. In addition, this method is a new advance of semi-analytical method in the application to nonlinear problems by means of combinating with the analytical perturbation method, and it is also a branch of the perturbational numerical method developed in last years.

New approximate solution for time-fractional coupled KdV equations by generalised differential transform method

In this paper, the genera]ised two-dimensiona] differentia] transform method （DTM） of solving the time-fractiona] coupled KdV equations is proposed. The fractional derivative is described in the Caputo sense. The presented method is a numerical method based on the generalised Taylor series expansion which constructs an analytical solution in the form of a polynomial. An illustrative example shows that the genera]ised two-dimensional DTM is effective for the coupled equations.

Approximate analytic solutions for a generalized Hirota—Satsuma coupled KdV equation and a coupled mKdV equation

This paper applies the variational iteration method to obtain approximate analytic solutions of a generalized Hirota-Satsuma coupled Korteweg-de Vries （KdV） equation and a coupled modified Korteweg-de Vries （mKdV） equation. This method provides a sequence Of functions which converges to the exact solution of the problem and is based on the use of Lagrange multiplier for identification of optimal values of parameters in a functional. Some examples are given to demonstrate the reliability and convenience of the method and comparisons are made with the exact solutions.

Time domain finite volume method for the transient response and natural characteristics of structural-acoustic coupling in an enclosed cavity

A time domain finite volume method（TDFVM）based on wave theory is developed to analyze the transient response and natural characteristics of structural-acoustic coupling problems in an enclosed cavity.In the present method,the elastic dynamic equations and acoustic equation in heterogeneous medium are solved in solid domains and fluid domains respectively.The structural-acoustic coupling is implemented according to the continuity condition of the particle velocity along the normal direction and the normal traction equilibrium condition on the interface.Several numerical examples are presented to validate the effectiveness and accuracy of the present TDFVM.Then the effects of water depth on the acoustic and vibration characteristics and the natural characteristics of a structural-acoustic coupling system are analyzed.The numerical results show that the increase of water depth leads to a stronger coupling between the water and structure and the decrease of natural frequencies of coupling system,The computational cost and memory of this method are small and it can be applicable to structural-acoustic coupling problems in the heterogeneous fluid.

Application of semi-analytical finite element method coupled with infinite element for analysis of asphalt pavement structural response

A specific computational program SAFEM was developed based on semi-analytical finite element （FE） method for analysis of asphalt pavement structural responses under static loads. The reliability and efficiency of this FE program was proved by comparison with the general commercial FE software ABAQUS. In order to further reduce the computational time without decrease of the accuracy, the infinite element was added to this program. The results of the finite-infinite element coupling analysis were compared with those of finite element analysis derived from the verified FE program, The study shows that finite-infinite element coupling analysis has higher reliability and efficiency.

NUMERICAL SIMULATION OF COUPLED STRUCTURAL- ACOUSTIC PROBLEMS USING FEM/IBEM

The numerical method of a coupled finite element and indirect boundary element equation for computing both the structural vibration and the acoustic radiation was presented. The coupling matrices were discussed and physical degrees of freedom of the structure were treated in terms of its modal basis in vacuum to decouple the computation from the entire coupled structural acoustic equations. The numerical results for the ellipsoidal shell immersed in two different fluids indicate that heavy fluid changes greatly structural and acoustic behavior. This method can be applied to analyze acoustic and vibration for arbitrary complex structures in fluids.

Thermoelectric field for a coated hole of arbitrary shape in a nonlinearly coupled thermoelectric material

We study the thermoelectric field for an electrically and thermally insulated coated hole of arbitrary shape embedded in an infinite nonlinearly coupled thermoelectric material subject to uniform remote electric current density and uniform remote energy flux.A conformal mapping function for the coating and matrix is introduced,which simultaneously maps the hole boundary and the coating-matrix interface onto two concentric circles in the image plane.Using analytic continuation,we derive a general solution in terms of two auxiliary functions.The general solution satisfies the insulating conditions along the hole boundary and all of the continuity conditions across the perfect coating-matrix interface.Once the two auxiliary functions have been obtained in the elementary-form,the four original analytic functions in the coating and matrix characterizing the thermoelectric fields are completely and explicitly determined.The design of a neutral coated circular hole that does not disturb the prescribed thermoelectric field in the thermoelectric matrix is achieved when the relative thickness parameter and the two mismatch parameters satisfy a simple condition.Finally,the neutrality of a coated circular thermoelectric inhomogeneity is also accomplished.

海上风机桩-筒复合基础基频特性分析

桩-筒复合基础作为海上风机的一种新型基础型式,在提高单桩承载力方面相较于单桩基础具有一定优势,然而筒体对风机结构基频特性的影响规律尚不明确。为研究该问题,对风机塔筒进行解析建模,结合有限元,建立了不同几何尺寸的单桩基础和桩-筒复合基础,将数值模型获得的基础刚度与上部塔筒解析模型进行耦合,提出了分析风机整机结构基频特性的有限元-解析耦合法。研究结果表明有限元-解析耦合法能够快速地实现风机整机结构基频预测。对比桩-筒复合基础与单桩基础基频特性发现:筒体的加入能有效提升单桩基础刚度,可以在不改变单桩基础桩径的前提下,有效提升结构第一阶固有频率,筒外径对基础基频的影响比筒壁高的影响更大。

基于改进ISM-FRAM-AHP的有限空间作业过程风险防控

为解决有限空间作业过程多层次、多环节、多功能交互关系模糊和不良耦合影响的问题,引入功能共振分析模型(FRAM),结合解释结构模型(ISM)和层次分析法(AHP)优化改进层次结构和判断方式,通过划分风险层次结构,将系统功能耦合变异性的影响进行定量化,并计算功能单元和层级结构的重要度,通过功能可变性和耦合损失度结果,确定上下游功能变化输入输出表型,理清系统功能要素间耦合作用影响机制。结果表明:应用基于改进ISM-FRAM-AHP的有限空间作业过程风险防控模型,能够得到23个功能单元和10层风险层级功能网络;功能可变性数值和耦合损失度最大值为4.36(外部环境F_(23))和0.8084(制定作业方案F_(2)),作业安全风险程度较高,功能变化主要表现为顺序、目标和控制,针对8条失效链路设置物理、象征、功能、隐形4种有效屏障措施。

基于VIKOR-耦合协调度模型的青岛市水资源承载力综合评价研究

基于VIKOR模型和耦合协调度模型,对2015年~2021年青岛市水资源承载力水平进行评价,分析水资源子系统与经济社会子系统的关联度发展状况。构建包括12项指标的评价,对指标数据进行标准化处理;应用层次分析法获取主观权重,变异系数法获取客观权重,进行组合赋予权;利用VIKOR模型计算评价值,并用耦合协调度模型判断两个子系统的协调程度。青岛市水资源负载力整体上升,但存在波动;2015年~2021年水资源与经济社会系统协调程度逐步提高,2017年、2019年水资源协调能力相对较低。青岛市水资源管理成果明显,但仍然需要加强水资源监测与管理,推进两个子系统配置的良好发展,提升水资源与利用效率,确保水资源的可持续利用。

城市减污降碳绿色发展水平及耦合协调效应研究——以昆明市为例

以昆明市为研究区域,利用层次分析法构建了城市减污降碳绿色发展水平综合评价体系,结合熵权法定量评价昆明市城市减污降碳绿色发展水平,并利用三元耦合协调度模型对其耦合协调效应演进过程进行分析。研究结果显示,2005—2020年期间昆明市降碳减污绿色发展协调发展度(即综合评价指数)呈现持续上升趋势,年均增长速度为12.3%,评估结果达到良的水平,单位GDP建设用地面积、单位GDP能源消耗、单位GDP二氧化碳排放量、单位工业增加值化学需氧量排放量是最主要影响因素;减污降碳绿色发展的耦合协调度指数呈现持续上升趋势,三个系统之间的耦合协调度由失调衰退阶段逐渐向过渡调和阶段、协调发展阶段转变,环境治理、低碳建设是耦合协调效应变化的主要影响因素。未来仍需以绿色低碳发展模式为统领,将减污和降碳工作统筹起来,以实现降碳减污绿色发展耦合协调效应尽快达到并稳定在优质协调发展程度。

流体静压型机械密封的半解析式流固耦合模型

提出一种适用于流体静压型机械密封的半解析式流固耦合分析模型。根据典型流体静压型机械密封的结构特点和工作原理,在圆环变形理论的基础上发展求解密封环机械变形的解析方法,以有限元法验证其正确性并确定其适用范围。以密封环机械变形和间隙流场计算的解析方法为基础,以密封环变形偏转角作为流体域和固体域的计算传递参数,提出流体静压型机械密封的半解析式流固耦合模型。基于所提出的半解析式流固耦合模型,求得某一工况条件下的压力分布、泄漏率和液膜刚度等参数,并与纯流场计算结果进行对比。并进一步研究密封端面初始锥角和螺钉预紧力等因素对密封性能的影响规律。所研究内容为流体静压型机械密封的流固耦合研究提供一种便捷、高效的方法。

水平井射孔完井产能预测研究与应用

水平井产能预测是进行油藏工程分析和采油工艺设计的基础。针对砂岩油藏射孔完井的水平井,采用半解析法,通过建立井筒单元段上的油藏渗流压力响应模型和井筒流动压力损失模型,将油藏渗流与井筒流动进行耦合,预测射孔完井的水平井产能,经现场实例验证,预测结果与实际情况误差率为5.89%;另外,对于定产的水平井,可确定该产量下的合理生产压差,同时为砂岩油藏完井参数选择和射孔优化设计提供科学的理论依据。

Numerical simulation of concrete shrinkage based on heat and moisture transfer in porous medium

To simulate the concrete shrinkage in varying temperature and moisture environments, a simulate procedure comprising an analytical process and a finite element analysis is proposed based on the coupled partial differential equations describing heat and moisture transfer in a porous medium. Using the Laplace transformation method and transfer function to simplify and solve the coupled equations in Laplace domain, the moisture and temperature distribution in time domain are obtained by inverse Laplace transformation. The shrinkage deformations of concrete are numerically simulated by the finite element method （FEM） based on the obtained temperature and moisture distribution. This approach avoids the complex eigenvalues, coupling difficulty and low accuracy found in other solving methods, and also effectively calculates the moisture induced shrinkage which is almost impossible using familiar FEM software. The validity of the simulation procedure is verified by Hundt＇s test data. The results reveal that the proposed approach can be considered a reliable and efficient method to simulate the coupling moisture and temperature shrinkage of concrete.

填埋气体迁移气-热-力耦合动力学模型的研究

基于连续介质力学 势弹性力学原理 ,运用多场耦合理论建立了填埋场中可压缩垃圾气体迁移耦合的动力学模型 ,并采用摄动法及积分变换法对该强非线性数学模型进行拟解析求解。通过算例对比分析 ,探讨了耦僵动力场中气压、温度和应力变化对可压缩气体迁移的影响 ,得出了垃圾气体迁移过程中的孔隙压力分布规律。结果表明 ,三场耦合作用与非耦合作用相对差别较大 ,耦合效应不能忽略。这为定量化研究垃圾气体在填埋场中的扩散状况以及污染气体的排放和收集、防止二次污染提供了可靠的理论依据。