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

2014 ◽  
Vol 1065-1069 ◽  
pp. 1026-1030 ◽  
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.

scholarly journals Study on the Seismic Response of a Portal Frame Structure Based on the Transfer Matrix Method of Multibody System

2014 ◽  
Vol 6 ◽  
pp. 614208 ◽  
Author(s):  
Jianguo Ding ◽  
Wei Zhuang ◽  
Pingxin Wang
Keyword(s):  
Seismic Response ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Multibody System ◽  
Building Design ◽  
Frame Structure ◽  
Industrial Building ◽  
Portal Frame ◽  
Portal Frame Structure

Portal frame structures are widely used in industrial building design but unfortunately are often damaged during an earthquake. As a result, a study on the seismic response of this type of structure is important to both human safety and future building designs. Traditionally, finite element methods such as the ANSYS and MIDAS have been used as the primary methods of computing the response of such a structure during an earthquake; however, these methods yield low calculation efficiencies. In this paper, the mechanical model of a single-story portal frame structure with two spans is constructed based on the transfer matrix method of multibody system (MS-TMM); both the transfer matrix of the components in the model and the total transfer matrix equation of the structure are derived, and the corresponding MATLAB program is compiled to determine the natural period and seismic response of the structure. The results show that the results based on the MS-TMM are similar to those obtained by ANSYS, but the calculation time of the MS-TMM method is only 1/20 of that of the ANSYS method. Additionally, it is shown that the MS-TMM method greatly increases the calculation efficiency while maintaining accuracy.

scholarly journals Pounding between Adjacent Frame Structures under Earthquake Excitation Based on Transfer Matrix Method of Multibody Systems

2019 ◽  
Vol 2019 ◽  
pp. 1-31 ◽  
Author(s):  
Yin Zhang ◽  
Jianguo Ding ◽  
Hui Zhuang ◽  
Yu Chang ◽  
Peng Chen ◽  
...  
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Maximum Error ◽  
Frame Structure ◽  
Frame Structures ◽  
Earthquake Excitation ◽  
Computation Efficiency ◽  
Adjacent Frame ◽  
The Moment

In this paper, the case of two adjacent frame structures is studied by establishing a mechanical model based on the transfer matrix method of multibody system (MS-TMM). The transfer matrices of the related elements and total transfer equation are deduced, combining with the Hertz-damp mode. The pounding process of two adjacent frame structures is calculated by compiling the relevant MATLAB program during severe ground motions. The results of the study indicate that the maximum error of the peak pounding forces and the peak displacements at the top of the frame structure obtained by the MS-TMM and ANSYS are 6.22% and 9.86%, respectively. Comparing the calculation time by ANSYS and MS-TMM, it shows that the computation efficiency increases obviously by using the MS-TMM. The pounding mainly occurs at the top of the short structure; meanwhile, multiple pounding at the same time may occur when the separation gap is small. The parametric investigation has led to the conclusion that the pounding force, the number of poundings, the moment of pounding, and the structural displacement are sensitive to the change of the seismic peak acceleration and the separation gap size.

Static Elastic-Plastic Analysis of a Pipe Structure by the Transfer Matrix Method

2020 ◽  
Vol 143 (1) ◽  
Author(s):  
Masayuki Arai ◽  
Shoichi Kuroda ◽  
Kiyohiro Ito
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Stiffness Matrix ◽  
Matrix Method ◽  
Frame Structure ◽  
Pipe System ◽  
Curved Pipe ◽  
Elastic Plastic ◽  
Complex Problems ◽  
Element Method

Abstract Pipe systems have been widely used in industrial plants such as power stations. In these systems, the displacement and stress distributions often need to be predicted. Analytical and numerical methods, such as the finite element method (FEM), boundary element method (BEM), and frame structure method (FSM), are typically adopted to predict these distributions. The analytical methods, which can only be applied to problems with simple geometries and boundary conditions, are based on the Timoshenko beam theory. Both FEM and BEM can be applied to more complex problems, although this usually requires a stiffness matrix with a large number of degrees-of-freedom. In FSM, although the structure is modeled by a beam element, the stiffness matrix still becomes large; furthermore, the matrix size needed in FEM and BEM is also large. In this study, the transfer matrix method, which is simply referred to as TMM, is studied to effectively solve complex problems, such as a pipe structure under a small size stiffness matrix. The fundamental formula is extended to a static elastic-plastic problem. The efficiency and simplicity of this method in solving a space-curved pipe system that involves an elbow are demonstrated. The results are compared with those obtained by FEM to verify the performance of the method.

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

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.

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

2000 ◽  
Vol 14 (16) ◽  
pp. 571-581 ◽  
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.

Elastic-Plastic Analysis of Pipe Structure by Transfer Matrix Method

2019 ◽  
Author(s):  
Masayuki Arai ◽  
Shoichi Kuroda ◽  
Kiyohiro Ito
Keyword(s):  
Stress Distribution ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Stiffness Matrix ◽  
Matrix Method ◽  
Frame Structure ◽  
Pipe System ◽  
Elastic Plastic ◽  
Simple Boundary ◽  
Element Method

Abstract Pipe systems have been widely used in industrial plants such as power stations. In these systems, it is often required to predict the displacement and stress distribution. Analytical and numerical methods such as the finite element method (FEM), boundary element method (BEM), and frame structure method (FSM) are typically adopted to predict the displacement and stress distribution. The analytical methods are solved based on the Timoshenko beam theory, but the problem that can be solved is limited to simple geometry under simple boundary conditions. Both FEM and BEM can be applied to more complicated problems, although this usually involves a large number of degrees of freedom in a stiffness matrix. The structure is modeled by a beam element in FSM. However, the stiffness matrix still becomes large, as does the matrix size constructed in FEM and BEM. In this study, the transfer matrix method (TMM) is studied to effectively solve complicated problems such as a pipe structure under a small size of the stiffness matrix. The fundamental formula is extended to apply to an elastic-plastic problem. The efficiency and simplicity of this method is demonstrated to solve a space-curved pipe system that involves elbows. The results are compared with those obtained by FEM to verify this method.

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

2018 ◽  
Author(s):  
Pingxin Wang ◽  
Xiaoting Rui ◽  
Jianshu Zhang ◽  
Hailong Yu ◽  
Hongtao Zhu
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Closed Loop ◽  
Structural Parameters ◽  
Pso Algorithm ◽  
Closed Loop System ◽  
Vibration Acceleration ◽  
Tracked Vehicles ◽  
Dynamical Optimization

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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