Analysis of mimo mechanical systems using the vectorial four pole parameter method

Ha, Jung-Su; Kim, K.-J.

doi:10.1006/jsvi.1995.0082

Cited by 16 publications

(6 citation statements)

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“…(4) The proposed progressive formulations use the normal inverse process of square matrices instead of the generalized inverse process of rectangular matrices when dealing with multi-input/multi-output (MIMO) systems [28,29]. This provides bene"ts of simpli"cation when applied to real designs of isolation systems and to the dynamic analysis of complex coupled systems.…”

Section: Discussionmentioning

confidence: 99%

“…The matrix N IT de"nes the velocity transmissibility matrix (VTM) which represents the velocity response vector V I produced by a unit velocity input V ) n#1 , and it re#ects the e!ect of the boundary motion excitations V ) n#1 upon substructure S I (k"1, 2, 2 , n). As these expressions indicate, all inverse matrix processes do not involve any generalized matrix inverses introducing uniqueness requirements [30]; this contrasts signi"cantly with the vectorial four-pole parameter method [28,29]. The progressive approach described by equation (34) begins from the prescribed excitation force vector F for Case 1 or from the prescribed excitation velocity vector V for Case 2.…”

Section: A Progressive Methods Using Equivalent Mobility Matricesmentioning

confidence: 99%

“…The four-pole parameter method [26,27] is a classical technique for deriving dynamic characteristics of an assembled system connected in series or in parallel. Although this method was originally limited to unidirectional single-input/ single-output (SISO) linear mechanical systems, recently, however, Ha and Kim [28] and Xiong [29] extended the four-pole parameter method to multiple-input/multiple-output (MIMO) linear systems. However, when assembling substructures in these systems with di!erent inputs and outputs, generalized inverse or pseudo-inverse [30] processes associated with rectangular four-pole parameter matrices are required to examine or to estimate coupling interactions [28,29].…”

Section: Introductionmentioning

confidence: 99%

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Power Flow Analysis of Complex Coupled Systems by Progressive Approaches

Xiong

Xing²,

Price³

2001

Journal of Sound and Vibration

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Section: Discussionmentioning

confidence: 99%

Section: A Progressive Methods Using Equivalent Mobility Matricesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Power Flow Analysis of Complex Coupled Systems by Progressive Approaches

Xiong

Xing²,

Price³

2001

Journal of Sound and Vibration

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“…The transfer matrix or four-pole parameter method is more suitable to an assembled system connected in series or in parallel (Molly 1957;Snowdon 1971). This method originally limited to unidirectional single-input / single-output linear mechanical systems was extended to multiple-input / multiple-output linear systems (Ha & Kim 1995;Xiong 1996). However, when assembling substructures in these systems with different inputs and outputs, generalised inverse or pseudo-inverse processes (Pringle & Rayner 1971) associated with rectangular four-pole parameter matrices are required to examine or to estimate coupling interactions.…”

Section: Travelling Wave Approachesmentioning

confidence: 99%

Energy Flow Theory of Nonlinear Dynamical Systems with Applications

Xing

2015

Emergence, Complexity and Computation

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com/mycopyOrder online at springer.com ▶ or for the Americas call (toll free) 1-800-SPRINGER ▶ or email us at: customerservice@springer.com. ▶ For outside the Americas call +49 (0) 6221-345-4301 ▶ or email us at: customerservice@springer.com.The first € price and the £ and $ price are net prices, subject to local VAT. Prices indicated with * include VAT for books; the €(D) includes 7% for Germany, the €(A) includes 10% for Austria. Prices indicated with ** include VAT for electronic products; 19% for Germany, 20% for Austria. All prices exclusive of carriage charges. Prices and other details are subject to change without notice. All errors and omissions excepted. This monograph develops a generalised energy flow theory to investigate non-linear dynamical systems governed by ordinary differential equations in phase space and often met in various science and engineering fields. Important nonlinear phenomena such as, stabilities, periodical orbits, bifurcations and chaos are tack-led and the corresponding energy flow behaviors are revealed using the proposed energy flow approach. As examples, the common interested nonlinear dynamical systems, such as, Duffing's oscillator, Van der Pol's equation, Lorenz attractor, Rössler one and SD oscillator, etc, are discussed. This monograph lights a new energy flow research direction for nonlinear dynamics. A generalised Matlab code with User Manuel is provided for readers to conduct the energy flow analysis of their nonlinear dynamical systems. Throughout the monograph the author continuously returns to some examples in each chapter to illustrate the applications of the discussed theory and approaches. The book can be used as an undergraduate or graduate textbook or a comprehensive source for scientists, researchers and engineers, providing the statement of the art on energy flow or power flow theory and methods. J.T. Xing Energy Flow Theory of Nonlinear Dynamical Systems with Applications

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“…(3.6). Other examples of four-pole model can be found in electric circuit [66], acoustics [67], [68] and mechanical system [69]- [72] as well.…”

Section: Frequency Response Functionmentioning

confidence: 99%

Transduction matrix of AC motor driven mechanical systems : system modelling and fault diagnosis

Lian¹

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In this dissertation, a modelling technique for motor driven system based on transduction matrix is introduced. Transduction matrix describes the relationship between input and output of a system in frequency domain, thus it provides better understanding of the system's condition. For a motor driven system running at constant frequency, the transduction matrices for induction motor, power transmission system and mechanical loading can be obtained from respective governing equations. Since transduction matrix represents the system's properties, condition monitoring can be attained by studying these transduction functions. In addition, transduction matrix facilitates the analysis on both impedance propagation and power flow in the motor driven system.Consequently, the electrical input impedance that consists of transduction function is utilized in condition monitoring of induction motor. Studying the frequency components of electrical input impedance allows characteristic frequencies of motor faults to be identified. Therefore, the proposed monitoring signature is used to monitor the change of signature due to broken rotor bar, abnormal air-gap eccentricity and bearing faults. By comparing with the results from conventional monitoring technique, impedance signature proved to have better sensitivity as fault signature is amplified. Furthermore, wavelet packet transform is utilized in order to carry out fault detection in time-frequency analysis, where the signal to noise ratio is improved and make the fault detection easier.

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Analysis of mimo mechanical systems using the vectorial four pole parameter method

Cited by 16 publications

References 0 publications

Power Flow Analysis of Complex Coupled Systems by Progressive Approaches

Power Flow Analysis of Complex Coupled Systems by Progressive Approaches

Energy Flow Theory of Nonlinear Dynamical Systems with Applications

Transduction matrix of AC motor driven mechanical systems : system modelling and fault diagnosis

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