Dynamical Optimization of Tracked Vehicle Based on Riccati Transfer Matrix Method and PSO Algorithm

Aiming at the problems of complex modeling and low calculation efficiency during dynamical optimization of tracked vehicles, a method for the closed-loop system called Riccati transfer matrix method for multibody system is proposed. In order to reduce the vibration acceleration of track shoes in the driving process, this paper uses the PSO algorithm and utilizes a strategy of decreasing the inertia weight to optimize the structural parameters of tracked vehicles. The research shows that the root mean square of vibration acceleration of track shoes above the support rollers is obviously reduced. This method provides a theoretical reference for the design of tracked vehicles and is beneficial to the dynamic design of complex systems.

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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 ◽

10.1177/1687814018788752 ◽

2018 ◽

Vol 10 (7) ◽

pp. 168781401878875

Author(s):

Lu Sun ◽

Guoping Wang ◽

Xiaoting Rui ◽

Xue Rui

Keyword(s):

System Dynamics ◽

Transfer Matrix ◽

Transfer Matrix Method ◽

Transfer Equation ◽

Matrix Method ◽

Closed Loop ◽

Multibody System ◽

Mixed System ◽

Global Dynamics ◽

Mixed Systems

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 method of overall transfer equation presented in recent years make it more convenient of the method for engineering application. In this article, by first defining branch subsystem, any complex multibody system may be regarded as the assembling of branch subsystems and simple chain subsystems. If there are closed loops in the system, the loops should be “cut off,” thus a pair of “new boundaries” are generated at each “cutting-off” point. The relationship between the state vectors of the pair of “new boundaries” may be described by a supplement equation. Based on above work, the automatic deduction method of overall transfer equation for tree systems as well as closed-loop-and-branch-mixed systems is formed. The results of numerical examples obtained by the automatic deduction method and ADAMS software for tree system dynamics as well as mixed system dynamics have good agreements, which validate the features of proposed method such as high computational speed, more effective for complex systems, no need of the system global dynamics equation, highly programmable, as well as convenient popularization and application in engineering.

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A method for determining the minimum period number in finite locally resonant phononic crystal beams

Journal of Vibration and Control ◽

10.1177/1077546319889851 ◽

2020 ◽

Vol 26 (9-10) ◽

pp. 801-813

Author(s):

Panxue Liu ◽

Shuguang Zuo ◽

Xudong Wu ◽

Minghai Zhang

Keyword(s):

Band Gap ◽

Transfer Matrix ◽

Transfer Matrix Method ◽

Matrix Method ◽

Structural Parameters ◽

Phononic Crystal ◽

Minimum Period ◽

Comprehensive Index ◽

Vibration Attenuation ◽

Vibration Transmissibility

To achieve the target band-gap in finite locally resonant phononic crystal beams, a method for determining the minimum period number is proposed. The vibration transmissibility method is extended to deal with the finite locally resonant phononic crystal beam. Comparing the vibration attenuation region obtained from the transmissibility method with the band-gap from the conventional transfer matrix method, the minimum period number can be calculated. Based on two forming patterns of locally resonant phononic crystal beams, the effects of the lattice constant and structural parameters of resonators on the band-gap as well as the influence of the period number on the vibration transmission characteristic are investigated. The minimum period number method can improve the applicability of the transmissibility method in the design of band-gaps and overcome the drawback that the transfer matrix method lacks the actual vibration attenuation. Finally, a comprehensive index is introduced to evaluate the effect of vibration reduction.

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CHARACTERISTICS OF LOCALIZED ACOUSTIC MODES IN A N -LAYER-BASED SUPERLATTICE WITH DEFECT LAYERS

Modern Physics Letters B ◽

10.1142/s0217984900000756 ◽

2000 ◽

Vol 14 (16) ◽

pp. 571-581 ◽

Cited By ~ 2

Author(s):

KE-QIU CHEN ◽

XUE-HUA WANG ◽

BEN-YUAN GU

Keyword(s):

Transfer Matrix ◽

Transfer Matrix Method ◽

Matrix Method ◽

Structural Parameters ◽

Defect Layer ◽

Unit Cell ◽

Localized Modes ◽

Acoustic Modes ◽

Number Of Branches

We present general expressions to calculate localized acoustic modes in a N -layer-based superlattice with defect layers by using a transfer-matrix method. Numerically, we investigate the properties of the localized modes in an AlAs–AlxGa1-xAs–GaAs superlattice with a defect layer AlyGa1-yAs. The influences of material and structural parameters on the localized modes are revealed with analyses. A comparison between the higher and lower branches of the localized modes is made. We show that the minigap and optimum localization are determined by the material and structural parameters of constituent layers in a unit cell as well as periodicity, while localized modes are dependent on both constituent and defect layers. Moreover, we find that the localized modes vary periodically with the width of the defect layer, and the number of branches of localized modes increases with the index of minigaps.

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A Simplified Transfer Matrix Method for Horizontal Seismic Response of Wall-Frame Structures Considering SSI

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.1065-1069.1026 ◽

2014 ◽

Vol 1065-1069 ◽

pp. 1026-1030 ◽

Cited By ~ 1

Author(s):

Shuo Ying Zhang ◽

Ming Tao Li

Keyword(s):

Seismic Response ◽

Transfer Matrix ◽

Transfer Matrix Method ◽

Matrix Method ◽

Seismic Behavior ◽

Structural Parameters ◽

Frame Structure ◽

Frame Structures ◽

Elastic Parameters ◽

Efficient Tool

Based on the double member model of wall-frame structure and the corresponding transfer matrix method, the concept of frequent impedance of rigid foundation is introduced so that SSI can be taken into account. This method is more convenient and efficient compared to finite element method because of fewer structural parameters and faster calculation speed. Necessary structure parameters include 7 parameters of each storey, geometry size and total mass of foundation and elastic parameters of site soil. Totally 39 examples were calculated for 13 values of foundation mass and 3 kinds of soil, which are compared to the result of fix bottom model of upper structure. Results show that SSI does not always deduce a decrease of seismic response. Sometimes SSI may increases structural displacement evidently. The simplified method would provide structure designers an efficient tool to understand seismic behavior of wall-frame structures with various foundation and site soil.

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Infinite-Dimensional Pole-Optimization Control Design for Flexible Structures Using the Transfer Matrix Method

Journal of Computational and Nonlinear Dynamics ◽

10.1115/1.4025352 ◽

2013 ◽

Vol 9 (1) ◽

Cited By ~ 2

Author(s):

Ryan W. Krauss

Keyword(s):

Transfer Matrix ◽

Transfer Matrix Method ◽

Matrix Method ◽

Closed Loop ◽

Flexible Structures ◽

Three Dimensional ◽

Control Design ◽

Optimization Procedure ◽

Step Response ◽

Infinite Dimensional

This paper presents an approach to control design for flexible structures based on the transfer matrix method (TMM). The approach optimizes the closed-loop pole locations while working directly on the infinite-dimensional TMM model. The approach avoids spatial discretization, eliminating the possibility of modal spillover. The design strategy is based on an iterative process of optimizing the closed-loop pole locations using a Nelder-Mead simplex algorithm and then performing hardware-in-the-loop experiments to see how the pole locations are affecting the closed-loop step response. The evolution of the cost function used to optimized the pole locations is discussed. Contour plots (three dimensional Bode plots) in the complex s-plane are used to visualize the pole locations. A computationally efficient methodology for finding the closed-loop pole locations during the optimization is presented. The technique is applied to a single-flexible-link robot and experimental results show that the optimization procedure improves upon an initial, Bode-based compensator design, leading to a lower settling time.

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