A unified approach for treating linear multibody systems involving flexible beams

Abbas, Laith K.; Zhou, Qinbo; Bestle, Dieter; Rui, Xiaoting

doi:10.1016/j.mechmachtheory.2016.09.022

Cited by 24 publications

(14 citation statements)

References 9 publications

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“…In fact, the transfer matrix of such components does not need to be re-deduced but may be taken directly from a transfer matrix library provided by [38]. However, in order to handle the connections between beam segments, lumped mass, and spring more conveniently and simply, it is necessary to introduce a connection component (rigid massless no-dimension body or just a dummy body) [43]. Figure 4c depicts the collection of the components.…”

Section: B System Components Partitioningmentioning

confidence: 99%

“…Transfer matrices for the system components, namely, linear translational spring, lumped mass, and dummy body vibrating in a plane are introduced briefly in Appendix A [38,43,48]. On the MSTMM viewpoint, the component transfer matrix for rotating Euler-Bernoulli beam is completely derived in Appendix B.…”

Section: Transfer Matrices Of the System Componentsmentioning

confidence: 99%

“…Vibration characteristic computations, however, using these methods for complex weapon system involving multi-rigid-flexible bodies may lead to 1) large computational scale and 2) computation singularity caused by computation ill-condition. To overcome these drawbacks and to achieve accurate dynamics modeling with fast computation of these systems, Rui and his students have been enlightened by the method of letting the state vectors (SVs) to be transferred into the classical transfer matrix method and developed a new multibody system called transfer matrix method for multibody systems (MSTMM) [38][39][40][41][42][43]. It avoids computational ill-condition of eigenvalue problems of complex linear multiple systems due to its low order of system matrices, which significantly improves the computational speed of vibration characteristics.…”

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confidence: 99%

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Flapwise Vibration Computations of Coupled Helicopter Rotor/Fuselage: Application of Multibody System Dynamics

et al. 2018

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Natural vibration characteristics of rotating blades are of fundamental importance from the viewpoint of maneuvering, blade life, vibration levels, aeroelastic, and stability. Helicopters may have serious resonant vibration problems when the excitation frequencies are equal to some multiple of the rotational speed. To ensure that conditions susceptible to resonance do not exist within the range of operating speeds, it is necessary that the natural frequencies and mode shapes be determined accurately. On one hand, as the complexity of multibody systems and the methods used for their design and control increases, the need for more elegant formulations of the equations of motion becomes an issue of paramount importance. On the other hand, although processor speed has increased dramatically over the last decade, development of computationally efficient algorithms is still a major issue in multibody dynamics. The transfer matrix method for multibody systems (MSTMM) accounts for both aspects. Based on many advantages of MSTMM in studying multibody system dynamics, a scenario of dynamics coupling between the flexible twin blade rotor and flexible fuselage of a typical helicopter model is proposed. The dynamical model of the coupled system, its topological figure, the overall transfer equation, and the characteristics equation are developed. The flapwise vibrations characteristics are carried out to obtain uncoupled/coupled twin blade/fuselage system natural modes and frequencies as a function of rotor speed. Examples are performed to validate with those published in the literature and produced by Workbench ANSYS.

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Section: B System Components Partitioningmentioning

confidence: 99%

Section: Transfer Matrices Of the System Componentsmentioning

confidence: 99%

mentioning

confidence: 99%

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Flapwise Vibration Computations of Coupled Helicopter Rotor/Fuselage: Application of Multibody System Dynamics

et al. 2018

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“…Then, the governing differential equations of the transverse vibration are transformed to an algebraic transfer equation. According to the MSTMM topology (such as chain or tree [15]) of the mulitbody system, the element transfer matrices are assembled. After eliminating the boundary conditions, a system of linear algebraic equations is established by a so-called overall transfer equation, where the coefficient matrix needs to be singular (requiring its determinant ' to be zero).…”

Section: Figure 1 Features Of Reinforced Thermoplastic Pipe (Rtp)mentioning

confidence: 99%

Free Vibration Modeling and Computation of Reinforced Thermoplastic Pipe (RTP) Conveying Fluid in Off/Inshore Industry Applications

Abbas

Chen

et al. 2018

MATEC Web Conf.

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Reinforced Thermoplastic Pipe (RTP) is a composite material flexible pipe. Due to RTP superior behavior, it encouraged the industry for using to offshore and inshore applications. Marine risers and cross-country pipelines resting on elastic medium are slender flexible structures conveying fluid and exhibit complex dynamic behaviors. Therefore, it requires accurate dynamic modeling for prediction the vibration characteristics. Transfer Matrix Method for Multibody Systems (MSTMM) is one of the sophisticated methods that can be used efficiently to model large systems and calculate its vibration characteristics and dynamic responses. The size of matrices in MSTMM remains small regardless of the number of elements in the model. Having smaller matrix sizes helps to have less computational expense leading to a faster answer. Based on the MSTMM advantages and Euler-Bernoulli linear theory, transfer matrix of the pipe in both offshore and inshore industry applications is built-up for vibration analysis. Recursive eigenvalue search algorithm is used to determine the system frequencies. Numerical examples are performed to validate with those published in the open literature.

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“…The main reasons for simplifying the dynamics model are that (a) the MLRS is composed of many mechanical parts for the usual multibody system dynamics methods, (b) it is necessary to establish global dynamic equations of the system, and (c) the global dynamic equations of the complex system have a higher matrix order, resulting in a significant decrease in computational speed with an increase of the system scale. In recent decades, some authors proposed and improved the transfer matrix method for multibody systems (MSTMM) (Abbas et al, 2017; Bestle et al, 2014; Rui et al, 2008, 2016a, 2016b), including the following characteristics. (1) The system’s global dynamic equations are not needed; hence, the complex and tedious process of establishing the global dynamic equations of the system is avoided, which is convenient for practical applications.…”

Section: Introductionmentioning

confidence: 99%

Simulation and adaptive control of back propagation neural network proportional–integral–derivative for special launcher using new version of transfer matrix method for multibody systems

Miao

Wang

Rui

2019

Journal of Vibration and Control

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Rocket launcher system, as a special launcher placed on tactical vehicles, is a very complex mechanical system with characteristics of strong shock and vibration. In order to improve position accuracy, as well as reduce vibration, this paper creates a nonlinear dynamics model of the launcher system by using a new version of the transfer matrix method for multibody systems. The overall transfer equation of the nonlinear model is deduced. Combining with general kinematics equations of the rocket, the system launch dynamics are simulated and compared with experiments to verify the correctness of the model. On this basis, a backpropagation neural network proportional–integral–derivative adaptive control system is designed to improve servo control of the launcher. Then, the effectiveness of this method is verified by comparing with the traditional proportional–integral–derivative control method. Simulated results show that the backpropagation neural network proportional–integral–derivative control system makes the azimuth and elevation angles reach the target values smoothly and quickly, with higher accuracy. The results prove that the proposed method prominently reduces vibrations of the launcher, by adjusting the control parameters online according to the operation state of the system, presenting a better stability and robustness.

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A unified approach for treating linear multibody systems involving flexible beams

Cited by 24 publications

References 9 publications

Flapwise Vibration Computations of Coupled Helicopter Rotor/Fuselage: Application of Multibody System Dynamics

Flapwise Vibration Computations of Coupled Helicopter Rotor/Fuselage: Application of Multibody System Dynamics

Free Vibration Modeling and Computation of Reinforced Thermoplastic Pipe (RTP) Conveying Fluid in Off/Inshore Industry Applications

Simulation and adaptive control of back propagation neural network proportional–integral–derivative for special launcher using new version of transfer matrix method for multibody systems

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