The Theory of Relativistic Analytical Mechanics of the Rotational Systems

Luo Shaokai

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Luo Shaokai. The Theory of Relativistic Analytical Mechanics of the Rotational Systems[J]. Applied Mathematics and Mechanics, 1998, 19(1): 42-53.

Citation:

Luo Shaokai. The Theory of Relativistic Analytical Mechanics of the Rotational Systems[J]. Applied Mathematics and Mechanics, 1998, 19(1): 42-53.

Citation:

Luo Shaokai. The Theory of Relativistic Analytical Mechanics of the Rotational Systems[J]. Applied Mathematics and Mechanics, 1998, 19(1): 42-53.

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The Theory of Relativistic Analytical Mechanics of the Rotational Systems

Luo Shaokai

Shangqiu Teachers College, Shangqiu Henan 476000, P. R. China

Received Date: 1996-10-24
Rev Recd Date: 1997-05-20
Publish Date: 1998-01-15

Abstract

Abstract

The theory of rotational relativistic mechanics is discussed and the theory of relativistic analytical mechanics of the rotational systems is constructed. The relativistic generalized kinetic energy function for the rotational systems T_r^*= and the generalized acceleration energy function S_r^*= are constructed and further, the Hamilton 27 principle and three kinds of Dc Alembert principles are given. For the systems with holonomic constraints, the relativistic Lagrange equation, Nielsen equation, Appell equation and Hamilton canonical equation of the rotational systems are constructed; For the systems with nonholonomic constraints, the relativistic Routh equation, Chaplygin equation, Nielsen equation and Appell equation of the rotational systems are constructed; and the relativistic Noether conservation law of the rotational systems are given too
- rotational systems,
- relativity,
- analytical mechanics,
- nonholonomic constraints,
- variation principle,
- equation of motion,
- conservation law

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References(16)

References

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