EXTENSION OF WHITTAKER EQUATIONS TO NON-HOLONOMIC MECHANICAL SYSTEMS

Applied Mathematics and Mechanics (English Edition) ›› 1984, Vol. 5 ›› Issue (1): 1041-1045.

EXTENSION OF WHITTAKER EQUATIONS TO NON-HOLONOMIC MECHANICAL SYSTEMS

梅凤翔

Beijing Institute of Technology

收稿日期:1983-01-24 出版日期:1984-01-18 发布日期:1984-01-18

EXTENSION OF WHITTAKER EQUATIONS TO NON-HOLONOMIC MECHANICAL SYSTEMS

Mei Feng-xiang

Beijing Institute of Technology

Received:1983-01-24 Online:1984-01-18 Published:1984-01-18

摘要/Abstract

摘要： In 1904, using the energy integral Whittaker studied the reduction of a dynamical problem to a problem with fewer degrees of freedom for the holonomic conservative systems and obtained the Whittaker equation^[1].In this article, Whittaker equations are extended to non-holonomic systems and the generalized Whittaker equations are obtained. And then these equations are transformed into Kiel-sen’s form.Finally an example is given.

关键词: gas well, fracturing, non-Darcy flow in porous media, fracture conductivity, parameter identification, automatic matching

Abstract: In 1904, using the energy integral Whittaker studied the reduction of a dynamical problem to a problem with fewer degrees of freedom for the holonomic conservative systems and obtained the Whittaker equation^[1].In this article, Whittaker equations are extended to non-holonomic systems and the generalized Whittaker equations are obtained. And then these equations are transformed into Kiel-sen’s form.Finally an example is given.

Key words: gas well, fracturing, non-Darcy flow in porous media, fracture conductivity, parameter identification, automatic matching

梅凤翔. EXTENSION OF WHITTAKER EQUATIONS TO NON-HOLONOMIC MECHANICAL SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 1984, 5(1): 1041-1045.

Mei Feng-xiang. EXTENSION OF WHITTAKER EQUATIONS TO NON-HOLONOMIC MECHANICAL SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 1984, 5(1): 1041-1045.

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EXTENSION OF WHITTAKER EQUATIONS TO NON-HOLONOMIC MECHANICAL SYSTEMS

EXTENSION OF WHITTAKER EQUATIONS TO NON-HOLONOMIC MECHANICAL SYSTEMS

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