多自由度陀螺保守系统的分解与解耦

IF 2.6 4区 工程技术 Q2 MECHANICS
Ranislav Bulatovic, Firdaus Udwadia
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引用次数: 0

摘要

利用实同余,探讨了线性、多自由度、保守陀螺仪动力系统的解耦问题。给出了将动力系统解耦为独立的规范子系统的实线性坐标变换存在的两个充分必要条件,每个子系统不超过两个自由度。当满足这些条件时,提供了对此类系统行为的新见解和概念简化,从而提高了我们对其复杂动力学行为的理解。根据这两个条件,得到了几个在科学和工程上有用的分析结果。许多分析结果通过几个数值例子来说明它们对自然发生和工程系统的直接适用性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Decomposition and Uncoupling of Multi-degree-of-freedom Gyroscopic Conservative Systems
Abstract This paper explores the decomposition of linear, multi-degree-of-freedom, conservative gyroscopic dynamical systems into uncoupled subsystems through the use of real congruences. Two conditions, both of which are necessary and sufficient, are provided for the existence of a real linear coordinate transformation that uncouples the dynamical system into independent canonical subsystems, each subsystem having no more than two-degrees-of-freedom. New insights and conceptual simplifications of the behavior of such systems are provided when these conditions are satisfied, thereby improving our understanding of their complex dynamical behavior. Several analytical results useful in science and engineering are obtained as consequences of these twin conditions. Many of the analytical results are illustrated by several numerical examples to show their immediate applicability to naturally occurring and engineered systems.
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来源期刊
CiteScore
4.80
自引率
3.80%
发文量
95
审稿时长
5.8 months
期刊介绍: All areas of theoretical and applied mechanics including, but not limited to: Aerodynamics; Aeroelasticity; Biomechanics; Boundary layers; Composite materials; Computational mechanics; Constitutive modeling of materials; Dynamics; Elasticity; Experimental mechanics; Flow and fracture; Heat transport in fluid flows; Hydraulics; Impact; Internal flow; Mechanical properties of materials; Mechanics of shocks; Micromechanics; Nanomechanics; Plasticity; Stress analysis; Structures; Thermodynamics of materials and in flowing fluids; Thermo-mechanics; Turbulence; Vibration; Wave propagation
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