Eigensolution Techniques and Undamped Response Analysis of Muitipie-Degree-of-Freedom Systems

2017 ◽  
pp. 47-116
Author(s):  
Franklin Y. Cheng
Keyword(s):  
Degree Of Freedom ◽  
Response Analysis

Experimental Forced Response Analysis of Two-Degree-of-Freedom Piecewise-Linear Systems With a Gap

2020 ◽  
Author(s):  
Akira Saito ◽  
Junta Umemoto ◽  
Kohei Noguchi ◽  
Meng-Hsuan Tien ◽  
Kiran D’Souza
Keyword(s):  
Piecewise Linear ◽  
Excitation Frequency ◽  
Forced Response ◽  
Degree Of Freedom ◽  
Linear Oscillator ◽  
Phase Portraits ◽  
Response Analysis ◽  
Experimental Setup ◽  
The Masses ◽  
Two Degree Of Freedom

Abstract In this paper, an experimental forced response analysis for a two degree of freedom piecewise-linear oscillator is discussed. First, a mathematical model of the piecewise linear oscillator is presented. Second, the experimental setup developed for the forced response study is presented. The experimental setup is capable of investigating a two degree of freedom piecewise linear oscillator model. The piecewise linearity is achieved by attaching mechanical stops between two masses that move along common shafts. Forced response tests have been conducted, and the results are presented. Discussion of characteristics of the oscillators are provided based on frequency response, spectrogram, time histories, phase portraits, and Poincaré sections. Period doubling bifurcation has been observed when the excitation frequency changes from a frequency with multiple contacts between the masses to a frequency with single contact between the masses occurs.

scholarly journals Dynamic Modeling and Parameters Optimization of Large Vibrating Screen with Full Degree of Freedom

2019 ◽  
Vol 2019 ◽  
pp. 1-12 ◽  
Author(s):  
Xiaodong Yang ◽  
Jida Wu ◽  
Haishen Jiang ◽  
Wenqiang Qiu ◽  
Chusheng Liu
Keyword(s):  
Neural Network ◽  
Elastic Deformation ◽  
Parametric Modeling ◽  
Parameters Optimization ◽  
Degree Of Freedom ◽  
Design Parameters ◽  
Response Analysis ◽  
Lateral Plate ◽  
Beam Position ◽  
Vibrating Screen

Dynamic characteristic and reliability of the vibrating screen are important indicators of large vibrating screen. Considering the influence of coupling motion of each degree of freedom, the dynamic model with six degrees of freedom (6 DOFs) of the vibrating screen is established based on the Lagrange method, and modal parameters (natural frequencies and modes of vibration) of the rigid body are obtained. The finite element modal analysis and harmonic response analysis are carried out to analyze the elastic deformation of the structure. By using the parametric modeling method, beam position is defined as a variable, and an orthogonal experiment on design is performed. The BP neural network is used to model the relationship between beam position and maximal elastic deformation of the lateral plate. Further, the genetic algorithm is used to optimize the established neural network model, and the optimal design parameters are obtained.

The Seismic Response Analysis of Continuous Rigid-Frame Bridge - Energy Method

2011 ◽  
Vol 378-379 ◽  
pp. 251-255
Author(s):  
Qi Cai Yu ◽  
Ai Rong Liu ◽  
Ren Xiong ◽  
Hui Jun Yu
Keyword(s):  
Finite Element ◽  
Energy Method ◽  
Reinforcement Ratio ◽  
Degree Of Freedom ◽  
Response Analysis ◽  
Energy Response ◽  
Continuous Rigid Frame Bridge ◽  
Rigid Frame ◽  
Rigid Frame Bridge ◽  
The Impact

A 3D Finite Element model of a continuous rigid-frame bridge is constructed by the Midas/Civil bridge finite element analysis program in this paper, where fiber elements and plastic hinges are used for bridge piers. The lump mass method is used to simplify the infinite-degree-of-freedom continuous rigid-frame bridge into a multi-degree of freedom model. The energy solution of continuous rigid-frame bridge is given, and the time-history analysis of the bridge is applied. In addition, the energy response of continuous rigid-frame bridge with different pier height and reinforcement ratio are given based on the energy method, revealing the impact of pier height and reinforcement ratio on the displacement and energy response of continuous rigid-frame bridge.

scholarly journals Modeling and Dynamics Analysis of a Dual-Mass Flywheel with the Conformal Contact Action of Friction Damping Ring and Pressure Plate

2021 ◽  
Vol 2021 ◽  
pp. 1-17
Author(s):  
Liping Zeng ◽  
Jie Huang ◽  
Yukun Xu ◽  
Liquan Song
Keyword(s):  
Nonlinear Dynamic ◽  
Angular Displacement ◽  
Frequency Characteristics ◽  
Degree Of Freedom ◽  
Response Analysis ◽  
Torsional Angle ◽  
Nonlinear Frequency ◽  
Friction Damping ◽  
Pressure Plate ◽  
Conformal Contact

To study the nonlinear dynamic characteristics of the dual-mass flywheel (DMF) under the conformal contact action between the friction damping ring and primary flywheel pressure plate, the contact action model is established and analyzed based on Winkler model. Through analysis and calculation, the contact deformation, contact pressure at different contact positions, and equivalent torsional contact stiffness are obtained. The nonlinear dynamic analysis model of three-degree-of-freedom (3DOF) which takes the conformal contact into account and two-degree-of-freedom (2DOF) without considering conformal contact is established. The approximate analytical solution of the nonlinear frequency characteristics of the system at steady state is derived. By comparing with the results obtained from numerical method, the theoretical analysis process is proved to be valid. And it is found that the overall amplitude and angular displacement transmissibility of the 3DOF model are smaller than the 2DOF model, especially at resonance frequency. The effects of the friction damping ring moment inertia, stiffness of DMF, and axial friction torque on the frequency characteristics of system and angular displacement transmissibility are analyzed. The forced vibration response analysis of the 3DOF model is conducted, through which the torsional angle variations of the primary flywheel, friction damping ring, and secondary flywheel with time are obtained. The results show that the amplitude of the secondary flywheel is much smaller than that of the primary flywheel, indicating that the DMF has prominent damping performance.

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