Design and Implementation of Component Using Compute of Numerical Expression Based on Dynamic Interaction
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In designing embedded program,in order to solve to a problem of numerical computation of dynamic interaction,we need to implement value component by computing of numerical expression. This paper describes an designation and implement of Numerical component by interpreting and computing of numerical expression.Keywords:
Component (thermodynamics)
Expression (computer science)
Value (mathematics)
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The aim of this paper is to present a new methodology for the evaluation of the statistical proprieties of the response of structures, based on The Finite Element Analysis (FEA) coupled with the Probabilistic Transformation Method (PTM). Uncertainty modelling with random variables motivates the adoption of advanced PTM for reliability analysis to solve problems of mechanical systems. The PTM is readily applicable in the case where the expression between input and output of structures are available in explicit analytical form. However, the situation is much more involved when it is necessary to perform the evaluation of implicit expression between input and output of structures through numerical models. For this we propose technique that combines the FEA software, and the PTM program to evaluate the Probability Density Function (PDF) of the response where the expression between input and output of structures is implicit. This technique is based on the numerical simulations of the FEA and the PTM by making an interface between Finite Element software and Matlab. Some problems of structures are treated in order to demonstrate the applicability of the proposed technique.
Expression (computer science)
Interface (matter)
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This paper describes the formulation and preliminary testing of a Distributed Numerical Computing (DNC) environment. DNC employs networking technology and an ensemble of loosely coupled workstation processors to compute engineering simulations concurrently. Two applications are described. The first application is integration of smooth structural dynamics equations using a hybrid Newmark-Richardson's extrapolation procedure. In the second application, a Feasible Sequential Quadratic Programming optimization algorithm is mapped to the DNC environment, and used to study the minumum weight design of of a two-story threedimensional steel building.
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A large range of software environments addresses numerical simulation, interactive visualisation and computational steering. Most such environments are designed to cover a limited application domain, such as finite element or finite difference packages, symbolic or linear algebra computations or image processing. Their software structure rarely provides a simple and extensible mathematical model for the underlying mathematics. Thus, assembling numerical simulations from computational and visualisation blocks, as well as building such blocks is a difficult task for the researcher in numerical simulation. This paper presents the NUMLAB environment, a single numerical laboratory for computational and visualisation applications. Its software architecture one-to-one models fundamental numerical mathematical concepts and presents a generic framework for a large class of computational applications. Partial and ordinary differential equations, transient boundary value problems, linear and non-linear systems, matrix computations, image and signal processing, and other applications all use the same software architecture and are built in a simple and interactive visual manner. NUMLAB’s one-to-one modelled mathematical concepts are illustrated with various applications.
Numerical Linear Algebra
Mathematical software
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Component (thermodynamics)
Real-Time Simulation
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This paper presents a practical application of form-finding process of cable-membrane structures. The dynamic relaxation method with kinetic damping is used as the computation method for numerical analysis. A brief description of the construction, a description of the models and the way of solving tasks will be introduced. The correct operation of the implemented algorithm will be compared with a commercial program.
Dynamic relaxation
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We describe an architecture-adaptable methodology for the parallel implementation of finite element numerical models of physical systems. We use a model of time-dependent ocean currents as our working example. The heart of the computation is the solution of a banded linear system, and we describe an algorithm based on the domain decompositionmethod to solve the banded system. The algorithm is represented in a divide-and-conquer framework facilitates easy implementation of various algorithmic options. The process is straightforward and amenable to automation. We demonstrate the validity of this approach using two radically different target machine, a workstation network and a supercomputer. Our results show very good speedup on both platforms.
Workstation
Speedup
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Numerical Linear Algebra
Interactive Visualization
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Topology optimization
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This paper presents a new approach to optimal design of large multibody spatial mechanical systems which takes advantage of both numerical analysis and symbolic computing. Identification of system topology is carried out using graph theory. The equations of motion are formulated in terms of relative joint coordinates through the use of a velocity transformation matrix. Design sensitivity analysis is carried out using the direct differentiation method applied to the relative joint coordinate formulation for spatial systems. The symbolic manipulation program MACSYMA is used to automatically generate the necessary equations for both dynamic and design sensitivity analyses for any spatial system. The symbolic equations are written as FORTRAN statements that are linked to a general purpose computer program which performs dynamic analysis, design sensitivity analysis, and optimization, using numerical techniques. Examples are presented to demonstrate reliability and efficiency of this approach.
Fortran
Optimal design
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An implementation concept for highly efficient shell finite elements with linear shape functions is presented. In the context of explicit time integration small time steps in combination with only vector operations on global level lead to a domination of element processing. The presented implementation concept is based on the application of the symbolic programming tool AceGen, an extension to the computer algebra software Mathematica. The presented shell elements including standard (=full) numerical integration in combination with different approaches in order to reduce artificial stiffness effects are implemented into the in-house Finite Element code Feap-MeKa. The specifics of the implementation concept are discussed and the efficiency and functionality of the element formulations are presented on numerical examples including large deformations.
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