Evaluation of Energy Absorption in Nonlinear Vibration System With Gaps

2005 ◽  
Author(s):  
Masanori Shintani ◽  
Hiroyuki Ikuta ◽  
Hajime Takada
Keyword(s):  
Nonlinear Vibration ◽  
Energy Absorption ◽  
Analytical Model ◽  
Random Waves ◽  
Vibration System ◽  
Restoring Force ◽  
Acceleration Level ◽  
Experimental Apparatus ◽  
Input Acceleration ◽  
Nonlinear Vibration System

This paper deals with nonlinear vibration characteristics of a continuum system with collision phenomena under random waves with gaps. In order to investigate such a nonlinear vibration characteristic, an experimental apparatus consisting of a nonlinear vibration system was made. Moreover, we propose an analytical model based on the restoring force characteristics of the experiments. In this report, the size of the gap between a mass and a plate is set to 0.5mm or 1.0mm. For this experimental model we also propose an analytical model. We use plates of 1.6mm thickness in the collisions both in the experiment and the analysis. The analytical model is based on an elasto-plasticity solid model. When considering the coefficients of restitution or energy absorption, the experimental results nearly agree with the analytical results [10]. We found that the rate of a collision changes with the size of the gap at each input acceleration level. As the gap size widens, energy absorption decreases for each input acceleration level. Consequently, in order to increase the energy absorption, it becomes necessary to increase the rate of the collision.

Study on Nonlinear Vibration of Continuum System With Gaps Considering Energy Dissipated by Collision

2004 ◽  
Author(s):  
Masanori Shintani ◽  
Hiroyuki Ikuta ◽  
Tadashi Kotera
Keyword(s):  
Kinetic Energy ◽  
Nonlinear Vibration ◽  
Analytical Model ◽  
Experimental Results ◽  
Thin Plates ◽  
Random Waves ◽  
Restoring Force ◽  
Collision Effect ◽  
Experimental Apparatus ◽  
Energy Dissipated

This paper deals with nonlinear vibration of a continuum system with gaps under random waves considered collision phenomena. In order to investigate this nonlinear vibration characteristic, experiments are carried out with an experimental apparatus consisting of a nonlinear vibration system. Moreover, an analytical model of the cubic equation is proposed based on the restoring force characteristics in the experiments. This analytical model is used for the simulation analysis, and its results are compared with the experimental results. However, the results show differences between thick plates and thin plates in the root-mean-square (R.M.S.) value of the response acceleration and the transfer function. The ratio of the kinetic energy of the experimental results and the simulation results is investigated. Consequently, energy is dissipated in the experiments. It is found that the energy dissipated by collision phenomena causes these results. In order to measure the coefficient of restitution by the collision phenomena between the plate and the mass, an experimental apparatus for the collision effect is made. Experiments are carried out with this apparatus. The experimental results agree with part of the results of the ratios of kinetic energy. It is clear that the analytical model in consideration for the energy dissipated by the collision effect is required.

Vibration Characteristic Evaluation of Nonlinear Vibration Systems With Gaps Considering Energy Dissipation by Collision

2005 ◽  
Author(s):  
Masanori Shintani ◽  
Hiroyuki Ikuta ◽  
Hiroyuki Shume
Keyword(s):  
Nonlinear Vibration ◽  
Analytical Model ◽  
Damping Ratio ◽  
Experimental Results ◽  
Experimental Result ◽  
Vibration Characteristic ◽  
Random Waves ◽  
Restoring Force ◽  
Dissipation Energy ◽  
Experimental Apparatus

This paper deals with nonlinear vibration of a continuum system with gaps under random waves considered collision phenomena. In order to investigate this nonlinear vibration characteristic, experiments are made with an experimental apparatus consisting of a nonlinear vibration system. A 2.3mm thick plate is used for the collision phenomena experiments. Moreover, an analytical model of the cubic equation is proposed based on the restoring force characteristics in the experiments. This analytical model is used for the simulation analysis, and the results are compared with the experimental results. However, the Root- Mean- Square (R.M.S.) values of the response acceleration of the analytical results are larger than R.M.S. values of the response acceleration of the experimental result. The difference of these results indicates that energy is dissipated in the collision phenomena. Then, the coefficient of restitution by the collision phenomenon between mass and plate is measured from the experiments. In the analysis, the dissipation energy is replaced with an equivalent damping ratio. The simulations are calculated by using this modified analysis. Consequently, the simulation results agree well with the experimental results.

Study on Analytical Model of Nonlinear Vibration for Elastic Plates With Gaps Under Random Waves

2004 ◽  
Vol 126 (4) ◽  
pp. 504-509 ◽  
Author(s):  
Masanori Shintani ◽  
Manabu Hamai
Keyword(s):  
Nonlinear Vibration ◽  
Analytical Model ◽  
Force Characteristic ◽  
Solid Model ◽  
Random Waves ◽  
Elastic Plates ◽  
Analysis Model ◽  
Restoring Force ◽  
Elasto Plasticity ◽  
Force Characteristics

In this paper, an analytical model for the nonlinear elastic-plastic vibration for long plates with gaps subjected to random vibrations is considered. The nonlinear vibration is caused by the collision phenomena between a mass through a gap and plates with thickness of 0.5, 0.6, and 0.8 mm. An elastic perfectly plastic solid material is assumed in some cases, which adds another aspect to the nonlinear behavior of the system. The material characteristic of the steel is assumed to be an elasto-plasticity solid model. A restoring force characteristic is obtained as the nonlinear vibration of a cubic equation for 0.5, 0.6, and 0.8 mm, the thickness of the plates by experiments. Now the analytical model is proposed by the elasto-plasticity solid model. The relation between the displacement and the force is described by a complicated equation. The curve from the analytical model is called a deflection curve. The results by the analytical model are compared with the results by the experimental model. The restoring force characteristics by the analysis agree with those of the experiment. The restoring force characteristics of the analysis are described using cubic equations. The simple analysis model for evaluation of the vibration characteristic of the nonlinear vibration system, which performs collision vibration with gaps, is proposed by elasto-plasticity solid model in this paper. The results of this proposed analytical model agree with the experimental results better than the results of the minimum of error of square.

713 Evaluation of Energy Absorption in Nonlinear Vibration System with Gaps

2006 ◽  
Vol 2006.43 (0) ◽  
pp. 233-234
Author(s):  
Masanori SHINTANI ◽  
Hiroyuki SHUME ◽  
Hajime TAKADA ◽  
Tadashi KOTERA
Keyword(s):  
Nonlinear Vibration ◽  
Energy Absorption ◽  
Vibration System ◽  
Nonlinear Vibration System

412 Evaluation of Energy Absorption in Nonlinear Vibration System with Gaps

2005 ◽  
Vol 2005.42 (0) ◽  
pp. 127-128
Author(s):  
Masanori SHINTANI ◽  
Hiroyuki IKUTA ◽  
Hiroyuki SHUME ◽  
Hajime TAKADA ◽  
Tadashi KOTERA
Keyword(s):  
Nonlinear Vibration ◽  
Energy Absorption ◽  
Vibration System ◽  
Nonlinear Vibration System

Synchronization Analysis of the Double Exciting Motors in Nonlinear Vibration System Based on Reaching Law

2011 ◽  
Vol 295-297 ◽  
pp. 2197-2200
Author(s):  
Xiao Hao Li ◽  
Jie Liu
Keyword(s):  
State Space ◽  
Nonlinear Vibration ◽  
Dynamic Model ◽  
Phase Difference ◽  
Sliding Mode ◽  
Design Feature ◽  
Vibration System ◽  
Reaching Law ◽  
Speed Difference ◽  
Nonlinear Vibration System

Based on the dynamic model of the nonlinear vibration system which driven by double exciting motors, the rotate speed difference and phase difference state space equations have been deduced. According to the design feature of the nonlinear vibration system and the vibration synchronization requirement of double exciting motors, the approach control synchronization strategy has been deduced with sliding mode reaching law. The practical examples and tests shows that the reaching law synchronization controller can effectively control the double exciting motors to realize the synchronization movement, and the synchronization controller has stronger robustness. The analysis result can provide the theoretical and test basis for the further exploitation of synchronization vibrating machine.

Sign in / Sign up

Export Citation Format

Share Document