Transfer-Matrix Method

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Xiaoting Rui - One of the best experts on this subject based on the ideXlab platform.

  • dynamics analysis and wave compensation control design of ship s seaborne supply by discrete time transfer matrix Method of multibody system
    Mechanical Systems and Signal Processing, 2019
    Co-Authors: Bao Rong, Guoping Wang, Xiaoting Rui, Ling Tao, Fufeng Yang
    Abstract:

    Abstract Real-time dynamics analysis and control of ship's seaborne supply (SSS) operations under complex sea conditions is a research hotspot in the fields of marine and ship engineering, mechanics and control engineering. In this paper, the discrete time transfer matrix Method of multibody system is proposed for dynamics modeling and analysis of a SSS system. This Method solves the dynamics of system easily only by the low-order transfer equations, instead of the usual high-order global differential or differential-algebra equations of system; therefore, its computational efficiency is enhanced essentially. Then for improving the positioning precision and security of supply operations, a hybrid control system which is composed of three PD controllers and a fuzzy controller is designed to compensate the ship’s relative motion caused by sea waves. The formulas, dynamics algorithm and control design details are all presented. Some illustrative simulations show the proposed modeling Method and control strategy are accurate and feasible, with low computational complexity and satisfying control performance.

  • study on automatic deduction Method of overall transfer equation for tree systems as well as closed loop and branch mixed systems
    Advances in Mechanical Engineering, 2018
    Co-Authors: Lu Sun, Guoping Wang, Xiaoting Rui, Xue Rui
    Abstract:

    The transfer matrix Method for multibody systems has been developed for 20 years and improved constantly. The new version of transfer matrix Method for multibody system and the automatic deduction ...

  • dynamics analysis and fuzzy anti swing control design of overhead crane system based on riccati discrete time transfer matrix Method
    Multibody System Dynamics, 2018
    Co-Authors: Bao Rong, Xiaoting Rui, Ling Tao, Guoping Wang
    Abstract:

    This paper describes an efficient Method called Riccati discrete time transfer matrix Method of multibody system (MS-RDTTMM) for studying the dynamic modeling and anti-swing control design of a two-dimensional overhead crane system, which consists of a trolley, rope, load, and control subsystem. Regarding the rope as a series of rigid segments connected by hinges, a multibody model of the overhead crane system can be developed easily by using MS-RDTTMM. Then three separate fuzzy logic controllers are designed for positioning and anti-swing control. For improving the performance of the predesigned fuzzy control system, the genetic algorithm based on MS-RDTTMM is presented offline to tune the initial control parameters. Using the recursive transfer formula to describe the system dynamics, instead of the global dynamics equation in ordinary dynamics Methods, the matrices involved in this Method are always very small, and the computational cost of the dynamic analysis and control system optimization can be greatly reduced. The numerical verification is carried out to show the computational efficiency, numerical stability, and control performance of the proposed Method.

  • transfer matrix Method for dynamics modeling and independent modal space vibration control design of linear hybrid multibody system
    Mechanical Systems and Signal Processing, 2018
    Co-Authors: Bao Rong, Xiaoting Rui, Ling Tao, Guoping Wang
    Abstract:

    Abstract In this paper, an efficient Method of dynamics modeling and vibration control design of a linear hybrid multibody system (MS) is studied based on the transfer matrix Method. The natural vibration characteristics of a linear hybrid MS are solved by using low-order transfer equations. Then, by constructing the brand-new body dynamics equation, augmented operator and augmented eigenvector, the orthogonality of augmented eigenvector of a linear hybrid MS is satisfied, and its state space model expressed in each independent model space is obtained easily. According to this dynamics model, a robust independent modal space-fuzzy controller is designed for vibration control of a general MS, and the genetic optimization of some critical control parameters of fuzzy tuners is also presented. Two illustrative examples are performed, which results show that this Method is computationally efficient and with perfect control performance.

  • distributed parallel computing of the recursive eigenvalue search in the context of transfer matrix Method for multibody systems
    Advances in Mechanical Engineering, 2016
    Co-Authors: Xiaoting Rui, Qinbo Zhou, Gangli Chen, Haigen Yang
    Abstract:

    The modeling and solving a transcendental eigenvalue problem are important issues in the transfer matrix Method for linear multibody systems. Based on the recursive eigenvalue search algorithm for ...

Guoping Wang - One of the best experts on this subject based on the ideXlab platform.

  • dynamics analysis and wave compensation control design of ship s seaborne supply by discrete time transfer matrix Method of multibody system
    Mechanical Systems and Signal Processing, 2019
    Co-Authors: Bao Rong, Guoping Wang, Xiaoting Rui, Ling Tao, Fufeng Yang
    Abstract:

    Abstract Real-time dynamics analysis and control of ship's seaborne supply (SSS) operations under complex sea conditions is a research hotspot in the fields of marine and ship engineering, mechanics and control engineering. In this paper, the discrete time transfer matrix Method of multibody system is proposed for dynamics modeling and analysis of a SSS system. This Method solves the dynamics of system easily only by the low-order transfer equations, instead of the usual high-order global differential or differential-algebra equations of system; therefore, its computational efficiency is enhanced essentially. Then for improving the positioning precision and security of supply operations, a hybrid control system which is composed of three PD controllers and a fuzzy controller is designed to compensate the ship’s relative motion caused by sea waves. The formulas, dynamics algorithm and control design details are all presented. Some illustrative simulations show the proposed modeling Method and control strategy are accurate and feasible, with low computational complexity and satisfying control performance.

  • study on automatic deduction Method of overall transfer equation for tree systems as well as closed loop and branch mixed systems
    Advances in Mechanical Engineering, 2018
    Co-Authors: Lu Sun, Guoping Wang, Xiaoting Rui, Xue Rui
    Abstract:

    The transfer matrix Method for multibody systems has been developed for 20 years and improved constantly. The new version of transfer matrix Method for multibody system and the automatic deduction ...

  • dynamics analysis and fuzzy anti swing control design of overhead crane system based on riccati discrete time transfer matrix Method
    Multibody System Dynamics, 2018
    Co-Authors: Bao Rong, Xiaoting Rui, Ling Tao, Guoping Wang
    Abstract:

    This paper describes an efficient Method called Riccati discrete time transfer matrix Method of multibody system (MS-RDTTMM) for studying the dynamic modeling and anti-swing control design of a two-dimensional overhead crane system, which consists of a trolley, rope, load, and control subsystem. Regarding the rope as a series of rigid segments connected by hinges, a multibody model of the overhead crane system can be developed easily by using MS-RDTTMM. Then three separate fuzzy logic controllers are designed for positioning and anti-swing control. For improving the performance of the predesigned fuzzy control system, the genetic algorithm based on MS-RDTTMM is presented offline to tune the initial control parameters. Using the recursive transfer formula to describe the system dynamics, instead of the global dynamics equation in ordinary dynamics Methods, the matrices involved in this Method are always very small, and the computational cost of the dynamic analysis and control system optimization can be greatly reduced. The numerical verification is carried out to show the computational efficiency, numerical stability, and control performance of the proposed Method.

  • transfer matrix Method for dynamics modeling and independent modal space vibration control design of linear hybrid multibody system
    Mechanical Systems and Signal Processing, 2018
    Co-Authors: Bao Rong, Xiaoting Rui, Ling Tao, Guoping Wang
    Abstract:

    Abstract In this paper, an efficient Method of dynamics modeling and vibration control design of a linear hybrid multibody system (MS) is studied based on the transfer matrix Method. The natural vibration characteristics of a linear hybrid MS are solved by using low-order transfer equations. Then, by constructing the brand-new body dynamics equation, augmented operator and augmented eigenvector, the orthogonality of augmented eigenvector of a linear hybrid MS is satisfied, and its state space model expressed in each independent model space is obtained easily. According to this dynamics model, a robust independent modal space-fuzzy controller is designed for vibration control of a general MS, and the genetic optimization of some critical control parameters of fuzzy tuners is also presented. Two illustrative examples are performed, which results show that this Method is computationally efficient and with perfect control performance.

  • study on automatic deduction Method of overall transfer equation for branch multibody system
    Advances in Mechanical Engineering, 2016
    Co-Authors: Xue Rui, Guoping Wang, Xiaoting Rui, Jianshu Zhang, Lu Sun
    Abstract:

    The transfer matrix Method for multibody system is a new Method developed in recent 20 years for studying multibody system dynamics. The new version of transfer matrix Method for multibody system a...

Bao Rong - One of the best experts on this subject based on the ideXlab platform.

  • hybrid finite element transfer matrix Method and its parallel solution for fast calculation of large scale structural eigenproblem
    Applied Mathematical Modelling, 2020
    Co-Authors: Bao Rong
    Abstract:

    Abstract Vibration characteristics play a fundamental role in structural analysis and dynamics design. The determination of vibration characteristics requires the solution of an eigenproblem. In this work, a novel parallel hybrid finite element (FE) transfer matrix Method (TMM) is studied for a large-scale structural eigenproblem. The full structure is divided into some substructures, and the vibration characteristics of each substructure are calculated with their proper solution Method (FE or TMM). Then by using the order-reduction transformation of the full structure based on an improved fixed interface modal synthesis, the reduced global equation of the full structure is obtained easily, and it can be used to solve the vibration characteristics of the full structure efficiently. To overcome the numerical instability of the ordinary transfer matrix technology in a large-scale structural analysis, the Riccati transform is also adopted. This hybrid Method has good parallelism, and the corresponding parallel algorithms are presented. Finally, this Method is applied to a vacuum vessel structure of the China fusion engineering test reactor, which has cyclic symmetry conditions. The simulation results demonstrate that this Method has low computational cost and satisfactory accuracy.

  • dynamics analysis and wave compensation control design of ship s seaborne supply by discrete time transfer matrix Method of multibody system
    Mechanical Systems and Signal Processing, 2019
    Co-Authors: Bao Rong, Guoping Wang, Xiaoting Rui, Ling Tao, Fufeng Yang
    Abstract:

    Abstract Real-time dynamics analysis and control of ship's seaborne supply (SSS) operations under complex sea conditions is a research hotspot in the fields of marine and ship engineering, mechanics and control engineering. In this paper, the discrete time transfer matrix Method of multibody system is proposed for dynamics modeling and analysis of a SSS system. This Method solves the dynamics of system easily only by the low-order transfer equations, instead of the usual high-order global differential or differential-algebra equations of system; therefore, its computational efficiency is enhanced essentially. Then for improving the positioning precision and security of supply operations, a hybrid control system which is composed of three PD controllers and a fuzzy controller is designed to compensate the ship’s relative motion caused by sea waves. The formulas, dynamics algorithm and control design details are all presented. Some illustrative simulations show the proposed modeling Method and control strategy are accurate and feasible, with low computational complexity and satisfying control performance.

  • dynamics analysis and fuzzy anti swing control design of overhead crane system based on riccati discrete time transfer matrix Method
    Multibody System Dynamics, 2018
    Co-Authors: Bao Rong, Xiaoting Rui, Ling Tao, Guoping Wang
    Abstract:

    This paper describes an efficient Method called Riccati discrete time transfer matrix Method of multibody system (MS-RDTTMM) for studying the dynamic modeling and anti-swing control design of a two-dimensional overhead crane system, which consists of a trolley, rope, load, and control subsystem. Regarding the rope as a series of rigid segments connected by hinges, a multibody model of the overhead crane system can be developed easily by using MS-RDTTMM. Then three separate fuzzy logic controllers are designed for positioning and anti-swing control. For improving the performance of the predesigned fuzzy control system, the genetic algorithm based on MS-RDTTMM is presented offline to tune the initial control parameters. Using the recursive transfer formula to describe the system dynamics, instead of the global dynamics equation in ordinary dynamics Methods, the matrices involved in this Method are always very small, and the computational cost of the dynamic analysis and control system optimization can be greatly reduced. The numerical verification is carried out to show the computational efficiency, numerical stability, and control performance of the proposed Method.

  • transfer matrix Method for dynamics modeling and independent modal space vibration control design of linear hybrid multibody system
    Mechanical Systems and Signal Processing, 2018
    Co-Authors: Bao Rong, Xiaoting Rui, Ling Tao, Guoping Wang
    Abstract:

    Abstract In this paper, an efficient Method of dynamics modeling and vibration control design of a linear hybrid multibody system (MS) is studied based on the transfer matrix Method. The natural vibration characteristics of a linear hybrid MS are solved by using low-order transfer equations. Then, by constructing the brand-new body dynamics equation, augmented operator and augmented eigenvector, the orthogonality of augmented eigenvector of a linear hybrid MS is satisfied, and its state space model expressed in each independent model space is obtained easily. According to this dynamics model, a robust independent modal space-fuzzy controller is designed for vibration control of a general MS, and the genetic optimization of some critical control parameters of fuzzy tuners is also presented. Two illustrative examples are performed, which results show that this Method is computationally efficient and with perfect control performance.

  • discrete time transfer matrix Method for launch dynamics modeling and cosimulation of self propelled artillery system
    Journal of Applied Mechanics, 2013
    Co-Authors: Bao Rong, Xiaoting Rui, Ling Tao
    Abstract:

    In many industrial applications, complex mechanical systems can often be described by multibody systems (MBS) that interact with electrical, flowing, elastic structures, and other subsystems. Efficient, precise dynamic analysis for such coupled mechanical systems has become a research focus in the field of MBS dynamics. In this paper, a coupled self-propelled artillery system (SPAS) is examined as an example, and the discrete time transfer matrix Method of MBS and multirate time integration algorithm are used to study the dynamics and cosimulation of coupled mechanical systems. The global error and computational stability of the proposed Method are discussed. Finally, the dynamic simulation of a SPAS is given to validate the Method. This Method does not need the global dynamic equations and has a low-order system matrix, and, therefore, exhibits high computational efficiency. The proposed Method has advantages for dynamic design of complex mechanical systems and can be extended to other coupled systems in a straightforward manner.

Daozhong Zhang - One of the best experts on this subject based on the ideXlab platform.

  • nonlinear frequency conversion in two dimensional nonlinear photonic crystals solved by a plane wave based transfer matrix Method
    Physical Review B, 2008
    Co-Authors: Daozhong Zhang
    Abstract:

    We develop the plane-wave-based Transfer-Matrix Method, which is a formalism that has been extensively used to calculate the scattering of electromagnetic waves by usual linear photonic crystals, to solve the quasi-phase-matched (QPM) second-harmonic generation (SHG) in two-dimensional (2D) nonlinear photonic crystals. Using this Method, we can calculate the conversion efficiency of high-order collinear and noncollinear QPM second-harmonics. We apply this Method to evaluate the SHG conversion efficiency in the 2D periodically poled ${\text{LiNbO}}_{3}$ crystal with rectangular lattice. The high-order collinear and noncollinear QPM SHGs are observed. The wavelengths at which various orders of QPM SHGs occur and their relative conversion efficiencies predicted by the current theoretical Method are in fairly good agreement with those found in experiments. This indicates that the developed Method is effective and efficient in handling nonlinear light diffraction in nonlinear photonic crystals.

  • second harmonic generation in one dimensional nonlinear photonic crystals solved by the transfer matrix Method
    Physical Review E, 2007
    Co-Authors: Daozhong Zhang
    Abstract:

    The transfer matrix Method has been widely used to calculate the scattering of electromagnetic waves. In this paper, we develop the conventional transfer matrix Method to analyze the problem of second harmonic generation in a one-dimensional multilayer nonlinear optical structure. In the designed nonlinear photonic crystal structure, the linear and nonlinear optical parameters are both periodically modulated. We have taken into account the multiple reflection and interference effects of both the linear and nonlinear optical waves during the construction of the transfer matrix for each composite layer. Application of this Method to multilayer nonlinear photonic crystal structures with different refractive indices indicates that the proposed Method is an exact approach and can simulate the generation of the second harmonic field precisely. In an optimum structure, the second harmonic generation efficiency can be several orders of magnitude larger than in a conventional quasi-phase-matched nonlinear structure with the same sample length. The reason is that, due to the presence of photonic band gap edges, the density of states of the electromagnetic fields is large, the group velocity is small, and the local field is enhanced. All three factors contribute to significant enhancement of the nonlinear optical interactions.

Ling Tao - One of the best experts on this subject based on the ideXlab platform.

  • dynamics analysis and wave compensation control design of ship s seaborne supply by discrete time transfer matrix Method of multibody system
    Mechanical Systems and Signal Processing, 2019
    Co-Authors: Bao Rong, Guoping Wang, Xiaoting Rui, Ling Tao, Fufeng Yang
    Abstract:

    Abstract Real-time dynamics analysis and control of ship's seaborne supply (SSS) operations under complex sea conditions is a research hotspot in the fields of marine and ship engineering, mechanics and control engineering. In this paper, the discrete time transfer matrix Method of multibody system is proposed for dynamics modeling and analysis of a SSS system. This Method solves the dynamics of system easily only by the low-order transfer equations, instead of the usual high-order global differential or differential-algebra equations of system; therefore, its computational efficiency is enhanced essentially. Then for improving the positioning precision and security of supply operations, a hybrid control system which is composed of three PD controllers and a fuzzy controller is designed to compensate the ship’s relative motion caused by sea waves. The formulas, dynamics algorithm and control design details are all presented. Some illustrative simulations show the proposed modeling Method and control strategy are accurate and feasible, with low computational complexity and satisfying control performance.

  • dynamics analysis and fuzzy anti swing control design of overhead crane system based on riccati discrete time transfer matrix Method
    Multibody System Dynamics, 2018
    Co-Authors: Bao Rong, Xiaoting Rui, Ling Tao, Guoping Wang
    Abstract:

    This paper describes an efficient Method called Riccati discrete time transfer matrix Method of multibody system (MS-RDTTMM) for studying the dynamic modeling and anti-swing control design of a two-dimensional overhead crane system, which consists of a trolley, rope, load, and control subsystem. Regarding the rope as a series of rigid segments connected by hinges, a multibody model of the overhead crane system can be developed easily by using MS-RDTTMM. Then three separate fuzzy logic controllers are designed for positioning and anti-swing control. For improving the performance of the predesigned fuzzy control system, the genetic algorithm based on MS-RDTTMM is presented offline to tune the initial control parameters. Using the recursive transfer formula to describe the system dynamics, instead of the global dynamics equation in ordinary dynamics Methods, the matrices involved in this Method are always very small, and the computational cost of the dynamic analysis and control system optimization can be greatly reduced. The numerical verification is carried out to show the computational efficiency, numerical stability, and control performance of the proposed Method.

  • transfer matrix Method for dynamics modeling and independent modal space vibration control design of linear hybrid multibody system
    Mechanical Systems and Signal Processing, 2018
    Co-Authors: Bao Rong, Xiaoting Rui, Ling Tao, Guoping Wang
    Abstract:

    Abstract In this paper, an efficient Method of dynamics modeling and vibration control design of a linear hybrid multibody system (MS) is studied based on the transfer matrix Method. The natural vibration characteristics of a linear hybrid MS are solved by using low-order transfer equations. Then, by constructing the brand-new body dynamics equation, augmented operator and augmented eigenvector, the orthogonality of augmented eigenvector of a linear hybrid MS is satisfied, and its state space model expressed in each independent model space is obtained easily. According to this dynamics model, a robust independent modal space-fuzzy controller is designed for vibration control of a general MS, and the genetic optimization of some critical control parameters of fuzzy tuners is also presented. Two illustrative examples are performed, which results show that this Method is computationally efficient and with perfect control performance.

  • discrete time transfer matrix Method for launch dynamics modeling and cosimulation of self propelled artillery system
    Journal of Applied Mechanics, 2013
    Co-Authors: Bao Rong, Xiaoting Rui, Ling Tao
    Abstract:

    In many industrial applications, complex mechanical systems can often be described by multibody systems (MBS) that interact with electrical, flowing, elastic structures, and other subsystems. Efficient, precise dynamic analysis for such coupled mechanical systems has become a research focus in the field of MBS dynamics. In this paper, a coupled self-propelled artillery system (SPAS) is examined as an example, and the discrete time transfer matrix Method of MBS and multirate time integration algorithm are used to study the dynamics and cosimulation of coupled mechanical systems. The global error and computational stability of the proposed Method are discussed. Finally, the dynamic simulation of a SPAS is given to validate the Method. This Method does not need the global dynamic equations and has a low-order system matrix, and, therefore, exhibits high computational efficiency. The proposed Method has advantages for dynamic design of complex mechanical systems and can be extended to other coupled systems in a straightforward manner.

  • perturbation finite element transfer matrix Method for random eigenvalue problems of uncertain structures
    Journal of Applied Mechanics, 2012
    Co-Authors: Bao Rong, Xiaoting Rui, Ling Tao
    Abstract:

    The rapid computation of random eigenvalue problems of uncertain structures is the key point in structural dynamics, and it is prerequisite to the efficient dynamic analysis and optimal design of structures. In this paper, by combining finite element-transfer matrix Method (FE-TMM) with perturbation Method, a new Method named as perturbation FE-TMM is presented for random eigenvalue problems of uncertain structures. By using the proposed Method, the rapid computation of random eigenvalue problems of uncertain structures with complicated shapes and boundaries can be achieved, and the repeated eignvalues and characteristic vectors can be solved conveniently. Compared with stochastic finite element Method, this Method has the low memory requirement, high computational efficiency and high computational stability. It has more advantages for dynamic design of uncertain structures. Formulations as well as some numerical examples are given to validate the Method. [DOI: 10.1115/1.4005574]