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2002•Engineering MechanicsRequires access

INTEGRATION FORMULA SELECTION FOR PRECISE DIRECT INTEGRATION METHOD

Yuanfeng Wang

Open publisher page 3 citations

Abstract

The selection of numerical integration method of precise direct integration is discussed in this paper. Theoretical analysis and numerical results show that the feasibility of numerical integration method depends on the characteristics of loads. It is suggested that a numerical integration method of high algebraic accuracy be used if the load can be expressed in a polynomial form. It is shown that Cotes formula and Gauss formula are two effective integration methods for precise algorithm.

About this research paper

What this paper is about

The selection of numerical integration method of precise direct integration is discussed in this paper. Theoretical analysis and numerical results show that the feasibility of numerical integration method depends on the characteristics of loads. It is suggested that a numerical integration method of high algebraic accuracy be used if the load can be expressed in a polynomial form. It is shown that Cotes formula and Gauss formula are two effective integration methods for precise algorithm.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The selection of numerical integration method of precise direct integration is discussed in this paper. Theoretical analysis and numerical results show that the feasibility of numerical integration method depends on the characteristics of loads. It is suggested that a numerical integration method of high algebraic accuracy be used if the load can be expressed in a polynomial form. It is shown that Cotes formula and Gauss formula are two effective integration methods for precise algorithm.

Key concepts: Numerical integration, Direct integration of a beam, Selection (genetic algorithm), Numerical analysis, Mathematics, Gauss, Algebraic number, Applied mathematics

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