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Study on Characteristics of 3-D Translating-Pulsating Source Green Function of Deep-Water Havelock Form and Its Fast integration method

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China Ocean Engineering 2011年第3期25卷 365-380页

作者：许勇董文才 Department of Naval Architecture and Ocean Engineering Naval University of Engineering

The singularities, oscillatory performances and the contributing factors to the 3-＇D translating-pulsating source Green function of deep-water Havelock form which consists of a local disturbance part and a far-field wave-like part, are analyzed systematically. Relative numerical integral methods about the two parts are presented in this paper. An improved method based on LOBATTO rule is used to eliminate singularities caused respectively by infinite discontinuity and jump discontinuous node from the local disturbance part function, which makes the improvement of calculation efficiency and accuracy possible. And variable substitution is applied to remove the singularity existing at the end of the integral interval of the far-field wave-like part function. Two auxiliary techniques such as valid interval calculation and local refinement of integral steps technique in narrow zones near false singularities are applied so as to avoid unnecessary integration of invalid interval and improve integral accordance. Numerical test results have proved the efficiency and accuracy in these integral methods that thus can be applied to calculate hydrodynamic performance of floating structures moving in waves.

关键词： translating-pulsating source Green's function singularity highly oscillatory function integration method

A SEKIES BOUNDARY integration method FOR THE BENDING ANALYSIS OF ANISOTROPIC PLATES

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Applied Mathematics and Mechanics(English Edition) 1990年第8期11卷 743-750页

作者： Liang Li-ping Department of Engineering Mechanics South China University of TechnologyGuaigzhou

A series boundary integration method is given which exactly satisfies the fundamental equation of bending analysis of general anisotropic plates or laminated plates in Kirchhoffs *** a unified deflection series,the method may be applied to the plates having different planforms and support *** groups of representative examples are *** examples include circular,square and triangular plates,and their boundaries include clamped edges,simply supported edges,free edges and free *** results indicate rapid convergency for both deflection and stress resultants and demonstrate wide applicability of the method.

关键词： Mathematical Modeling Industrial Mathematic integration method Support Condition Free Edge

PARAMETRIC EQUATIONS OF NONHOLONOMIC NONCONSERVATIVE SYSTEMS IN THE EVENT SPACE AND THE method OF THEIR integration

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Acta Mechanica Sinica 1990年第2期6卷 160-168页

作者： Mei Fengxiang (Beijing Institute of Technology) Beijing Institute of Technology Beijing China

In this paper,the parametric equations with multipliers of nonholonomic nonconservative sys- tems in the event space are established,their properties are studied,and their explicit formulation is obtained. And then the field method for integrating these equations is ***,an example illustrating the appli- cation of the integration method is given.

关键词： event space nonholonomic nonconservative system parametric equation integration method

A new method for integration of a Birkhoffian system

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Journal of Southeast University(English Edition) 2011年第2期27卷 188-191页

作者：张毅苏州科技学院土木工程学院苏州215011

The idea of the gradient method for integrating the dynamical equations of a nonconservative system presented by Vujanovic is transplanted to a Birkhoffian system, which is a new method for the integration of Birkhoff＇s equations. First, the differential equations of motion of the Birkhoffian system are written out. Secondly, 2n Birkhoff＇s variables are divided into two parts, and assume that a part of the variables is the functions of the remaining part of the variables and time. Thereby, the basic quasi-linear partial differential equations are established. If a complete solution of the basic partial differential equations is sought out, the solution of the problem is given by a set of algebraic equations. Since one can choose n arbitrary Birkhoff＇s variables as the functions of n remains of variables and time in a specific problem, the method has flexibility. The major difficulty of this method lies in finding a complete solution of the basic partial differential equation. Once one finds the complete solution, the motion of the systems can be obtained without doing further integration. Finally, two examples are given to illustrate the application of the results.

关键词： Birkhoffian system integration method basicpartial differential equation

Nonlinear performance of classical damping

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Earthquake Engineering and Engineering Vibration 2013年第2期12卷 279-296页

作者： Shuenn-Yih Chang Department of Civil Engineering Taipei University of Technology

The performance of a classical damping matrix, constructed either from the use of initial structural properties or current structural properties, in the step-by-step solution of a nonlinear multiple degree of freedom （MDOF） system is analytically evaluated. The analytical results are confirmed by numerical examples. Consequently, some conclusions are drawn from these analytical results that might be considered as rough guidelines for practical applications. It is found that a classical damping matrix constructed from initial structural properties is adequate for practical applications, since it has approximately the same damping effect as obtained by current structural properties and is more efficient in terms of computing.

关键词： classical damping nonlinear dynamic analysis integration method

Systematic framework for the efficient integration of wind technologies into buildings

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Frontiers of Architectural Research 2016年第1期5卷 1-14页

作者： Ashraf A. ELMokadem Naglaa A. Megahed Dina S. Noaman Architecture and Urban Planning Department Faculty of Engineering Port-Said University Port SaidEgypt

The renewed interest that is being paid by architects, project developers and local governments to integrate wind turbines with buildings is mainly required a framework to unify much data, criteria and variables to ease the design process to many architects. Therefore, this paper introduces and elaborates the systematic framework towards the efficient integration of wind technologies into new building. Moreover, it evaluates the framework effectiveness by comparing the current status of wind technologies integration into a buitding with the suggested status if the framework is followed.

关键词： Building integratedwind technology integration method Systematic framework

Electrical Calibration for Calvet Type Microcalorimetry

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Journal of China University of Geosciences 2001年第3期12卷 232-235页

作者： Chen Jiawei Bao Zhengyu Mei YupingFaculty of Earth Sciences, China University of Geosciences, Wuhan 430074 Faculty of Earth Sciences China University of Geosciences Wuhan 430074

The device construction and working principle of Calvet type heat conductive microcalorimetry are generally introduced in this paper. Based on previous work, we design a reactor vessel and its electrical calibration equipment according to our special study systems. The heat constant of our improved microalorimetry is gotten by means of electrical calibration on the basis of Tian's equation. The results gotten by integration method are identical with ones gotten by peak method. It shows that our improved device works well enough to develop further studies.

关键词： electrical calibration microcalorimetry integration method peak method heat constant.

TIMS分析痕量钚同位素丰度比的数值处理方法

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TIMS分析痕量钚同位素丰度比的数值处理方法