Dynamic Analysis of the Vibration System With Nonlinear Springs

Author(s):  
Guixi Li ◽  
Rujian Ma ◽  
Jungang Wang

The dynamic characteristics of vibration systems with nonlinear springs is analyzed in the paper. The relationship between spectra of response and excitation intensity is established by nonlinear analysis method under the assumption of the displacement response being a zero-mean Gaussian process, which is proved to be true by numerical simulation. The numerical computation is used to obtain the spectral densities of responses and, furthermore, to investigate the amplitude-frequency characteristics of the system. The results show that the peak of the amplitude-frequency curve goes higher with increase of the gap, yet lowers with the increase of natural frequency and drops significantly with the increase of damping ratio.

Author(s):  
Rujian Ma ◽  
Guixi Li ◽  
Dong Zhao

The vibration of simple pendulum with large displacement is a kind of nonlinear system. The relationship between spectra of response and excitation is established by nonlinear analysis method under the assumption of the displacement response being a zero-mean Gaussian process, which is proved to be true by numerical simulation. The numerical computation is used to investigate the amplitude-frequency characteristics of the system. The results show that the value of amplitude-frequency characteristics decreases significantly with the increase of natural frequency and damping ratio near the point of frequency ratio being one, and the changes become less notable when the frequency ratio is greater than two.


2011 ◽  
Vol 48-49 ◽  
pp. 813-816 ◽  
Author(s):  
Qi Zhang ◽  
Jun Hai Ma

From a mathematical model of one kind complicated financial system, we make a dynamic analysis on this kind of system on the basis of studies of scholars both at home and abroad. We find characteristics of various dynamic systems driven by different parameters, and study possible Hopf bifurcation as well as the relationship between Hopf bifurcation and the values of parameters. Besides, we make use of algorithm to analyze complexity of the system. The results of numerical simulation prove that the theory used in the thesis is correct. This study is regarded with good theoretical and practical value.


2013 ◽  
Vol 584 ◽  
pp. 261-267
Author(s):  
Ze Hao Pan ◽  
Jia Ning Wu ◽  
Shao Ze Yan ◽  
Jie Liang Zhao

In this paper, a review of developments in the dynamic characteristics of traditional and inflatable solar array is presented. Three major aspects that affect the dynamic behavior of solar array are reviewed: component flexibility, joint clearance and thermally induced vibration. Important results and methods of exploring the dynamic characteristics of inflatable solar array are discussed. Future research areas in dynamic characteristics of solar array are identified as damping mechanism of inflatable structure, the relationship between pressurization level and damping ratio, application of more advanced contact model, dynamic characteristics of solar array made of new materials and consideration of deformation in multiple dimensions.


2015 ◽  
Vol 744-746 ◽  
pp. 920-923
Author(s):  
Zhao Bo Meng ◽  
Yu Cao ◽  
Jie Jin

Taking Liaocheng Guangyue tower as an example, based on the on-site measurements, to determine its dynamic characteristics and provide a basis by numerical analysis method for determining traffic incentive effect on the ancient timber buildings. From the research, we can conclude that the first-order self-vibration frequency of Guangyue tower can be taken as 1.638Hz, the corresponding natural vibration period is 0.61s,the damping ratio is 1.098.


2000 ◽  
Vol 7 (2) ◽  
pp. 113-117
Author(s):  
Yinong Li ◽  
Ling Zheng ◽  
Bangchun Wen

A vibration system with slow-changing parameters is a typical nonlinear system. Such systems often occur in the working and controlled process of some intelligent structures when vibration and deformation exist synchronously. In this paper, a system with slow-changing stiffness, damping and mass is analyzed in an intelligent structure. The relationship between the amplitude and the frequency of the system is studied, and its dynamic characteristic is also discussed. Finally, a piecewise linear method is developed on the basis of the asymptotic method. The simulation and the experiment show that a suitable slow-changing stiffness can restrain the amplitude of the system when the system passes through the resonant region.


2014 ◽  
Vol 578-579 ◽  
pp. 877-881
Author(s):  
Qiang Liu

The dynamic analysis method and theory of double-tower connected structures is discussed in this paper .Then modal analysis、static and dynamic time-history analysis is researched with the FEM software ANSYS. Through the structure of monomer and comparative study of the structure in different locations, the basic rules of dynamic characteristics and the rules of layout corridor can be achieved. In addition, by symmetric and asymmetric conjoined comparative study, the basic choose rules of structure type can also be achieved.


Author(s):  
Mais Ghassoun ◽  
Ali Algharrash ◽  
Reem Alsehnawi

The Dynamic characteristics such as damping ratio and natural frequency are an important indicator for predicting the dynamic behavior of bridges, but it is customary during the design that the designer assess the dynamic properties of the dynamic analysis because it is very difficult to determine the damping of the origin before construction and damping is taken as a predetermined constant value independent of the response amplitude and frequency of the structure. In the dynamic analysis of constructions design some experimental research has been concerned with the determination of dynamic structural properties and their relationship with the response amplitude experimentally, but the changes in dynamic properties with vibration amplitude has never been taken During dynamic analysis, further analytical treatments and computer modeling were required to study different cases based on the experimental results available by simulating them with a computer model. Dynamic characteristics are very essential to accurately determine the dynamic response, and it is necessary to study the effect of changes of the actual dynamic characteristics of bridges, which were determined by measuring their vibration in the results of dynamic analysis and comparing them with results that do not take into account the changes of dynamic properties and with laboratory results in order to assess the role of. Dynamic analysis inputs in simulating vibrations by monitoring their responses. As a result, it was found that the dynamic properties are independent of the shape of the external exactions. Also, it was concluded that relationships express the change of dynamic properties in terms of vibration amplitudes. And Similar reliance of the dynamic characteristics to the vibration amplitude is confirmed for the pier model, where the increase of the amplitude of the acceleration is accompanied by a decrease in the natural frequency, and an increase in the damping ratio is obvious. Before choosing design values when considering the dynamic characteristics of a structure, we need to give unique concentration to the predictable vibration amplitudes. Dynamic characteristics changes during dynamic analysis should be considered to produce analytical results that simulate experimental results and are closer to reality.


Author(s):  
Nurdan Gürkan ◽  
Ahmet Ferda Çakmak

The concept of entrepreneurial orientation, which emerges with the development of strategic management, refers to entrepreneurship orientations of businesses. The businesses need resources in other words organizational slack in order to develop their entrepreneurial trends. The organizational slack consists of three slack type. These slack types are available slack, recoverable slack and potential slack. The purpose of this study is to examine whether organizational slack in the businesses has an effect on entrepreneurial orientation. The relationship between organizational slack and entrepreneurial orientation was investigated through 20 companies that were traded in Borsa Istanbul Corporate Governance Index for 2010-2014 period using panel data analysis method. The results of the study indicate the existence of a statistically significant relationship between and the available slack and the recoverable slack with the entrepreneurial orientation in the businesses. According to findings; there was no statistically significant relationship between potential slack and entrepreneurial orientation.


2011 ◽  
Vol 131 (2) ◽  
pp. 166-170 ◽  
Author(s):  
Yoshihiro Nakata ◽  
Hiroshi Ishiguro ◽  
Katsuhiro Hirata

Author(s):  
Carlos Alberto Dutra Fraga Filho ◽  
Fernando César Meira Menandro ◽  
Rivânia Hermógenes Paulino de Romero ◽  
Juan Sérgio Romero Saenz

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