Optimal Damped Vibration Absorber: Including Multiple Modes and Excitation Due to Rotating Unbalance

2015 ◽  
Vol 137 (6) ◽  
Author(s):  
Alok Sinha

Optimal vibration absorbers are designed using the definition of H-infinity norm and numerical optimization. The cases of both constant amplitude excitation and rotating unbalance excitation are considered. The design procedure is quite general, and can easily handle multiple modes of vibration. A general procedure to construct a root loci plot is also developed. Using a cantilever beam, numerical results are presented.

Author(s):  
Alok Sinha

Optimal vibration absorbers are designed using the definition of H-infinity norm and numerical optimization. The cases of both constant amplitude excitation, and rotating unbalance excitation are considered. The design procedure is quite general, and can easily handle multiple modes of vibration. A general procedure to construct a root loci plot is also developed. Using a cantilever beam, numerical results are presented.


Author(s):  
Re´gis Viguie´ ◽  
Gae¨tan Kerschen

Nonlinear vibration absorbers are known as being frequency-robust but not amplitude-robust devices. This lack of amplitude robustness is due to the frequency-energy dependence of their related nonlinear oscillations. This feature makes the design of nonlinear vibration absorbers a particulary challenging problem. In this paper an innovative design procedure of a nonlinear vibration absorber is proposed so that a nonlinear mode of a nonlinear primary structure can be controlled in a frequency and amplitude robustness fashion.


2007 ◽  
Vol 31 (2) ◽  
pp. 167-190 ◽  
Author(s):  
Zhang Ying ◽  
Yao Yan-An ◽  
Cha Jian-Zhong

This paper proposed a novel concept of active balancer for dynamic balancing of planar mechanisms. Somewhat similar to a vibration absorber, the active balancer is designed as an independent device, which is placed outside of the mechanism to be balanced and can be installed easily. It consists of a two degree-of-freedom (DOF) linkage with two input shafts, one of which is connected to the output shaft of the mechanism to be balanced by a joint coupling, and the other one is driven by a controllable motor. Flexible dynamic balancing adapted to different working conditions can be achieved by varying speed trajectories of the control motor actively. A design method is developed for selecting suitable speed trajectories and link parameters of the two DOF linkage of the balancer to meet various design requirements and constraints. Numerical examples are given to demonstrate the design procedure and to verify the feasibility of the proposed concept.


Author(s):  
Yuliia Tovstohan ◽  
◽  
Serhii Ivanov ◽  

The scientific article examines the modern mechanism of protection of intellectual property rights in Ukraine. Attention is paid to the historically first using of the concept of intellectual property rights in international law and the shortcomings of this definition. The legal definition of this concept contained in the Civil Code of Ukraine is analyzed. It is concluded that the legislative enshrinement of intellectual property rights is evidence of its recognition by the state, and such a right applies to special objects, the list of which is enshrined at both national and international levels. The question of the relationship between the concepts of "protection" and "defense" of civil rights is covered. The main groups of approaches of scientists to the solution of this problem are indicated. An approach that defines "protection" as a general concept for "defense" is supported, where "protection" is a broader concept that covers the term "defense". Emphasis is placed on the fact that although these legal categories are related, they cannot be identified. The main features that distinguish these concepts are listed, and the features of "defense" as an independent concept are highlighted. There are given examples of definition of the concept of protection of intellectual property rights given by scientists. Based on these definitions, the main features of this term are summarized. The issue of forms of protection (jurisdictional and non-jurisdictional) has been studied. The general and special order within the jurisdictional form is distinguished. It is noted about the peculiarities of self-defense as a non-jurisdictional form. The focus is on the judicial (general) procedure for protection of intellectual property rights as the main one. Possible ways of protection (civil, administrative, criminal, and criminal) are analyzed. The problems and shortcomings of the current system of legal protection and protection of intellectual property rights in Ukraine are analyzed. Both reports from international partners and research by Ukrainian scientists were used. The authors outline ways to solve existing problems. The conclusions of the study are formulated and the possibility of further scientific research in this area is indicated.


Author(s):  
Bohdan M. Diveyev ◽  
Zinovij A. Stotsko

The main aim of this paper is improved dynamic vibration absorbers design with taking into account complex rotating machines dynamic The is considered for the complex vibroexitated constructions. Methods of decomposition and the numerical schemes synthesis are considered on the basis of new methods of modal methods. Development of of complicated machines and buildings in view of their interaction with system of dynamic vibration absorbers is under discussion.


Author(s):  
Yiqing Yang ◽  
Haoyang Gao ◽  
Wenshuo Ma ◽  
Qiang Liu

The vibration absorber has been effective in vibration control. From the demand of manufacturing structural parts with a deep hole, the design of a turning cutting tool with large length–diameter ratio is presented. An analytical approach of acquiring frequency response of primary structure equipped with typical single-degree-of-freedom vibration absorbers is formulated, and background modes are incorporated with the purpose of achieving an accurate tuning of vibration absorber. Specifically, the three-element type is investigated as the damping element of the vibration absorber embedded in the cutting tool contributes to the stiffness, although it demonstrates medium performance of vibration suppression according to non-dimensional analysis. The experimentally tuned frequency response function of the turning cutting tool with three-element vibration absorber achieves 87.1% reduction on the amplitude of the target mode. Finally, several configurations of internal turning operations are carried out to validate the design of the vibration absorber.


Author(s):  
Hamed Moradi ◽  
Firooz Bakhtiari-Nejad ◽  
Mohammad R. Movahhedi

Dynamic vibration absorbers are used as semi-active controllers to reduce the undesirable vibrations in many applications such as electrical transmission lines, helicopters, gas turbines, engines, bridges and etc. One type of these absorbers is tunable vibration absorber (TVA). In this paper, regenerative chatter in an orthogonal turning process is suppressed using a (TVA). It is shown that TVA can modify the frequency response function of the cutting tool so as to improve cutting stability in turning process. In addition, tool wear is an important factor which works as a positive damping and helps the chatter suppression beside exertion of the TVA. Finally, using the SIMULINK Toolbox of MATLAB, the analog simulated block diagram of the problem is developed. The advantage of this simulation is that, one can analyze the effect of other types of excitations such as step, ramp, etc on the absorbed system.


Author(s):  
Aaron Garrett

Spinoza consistently used geometrical demonstrations to present his philosophical ideas. This is evident in the Ethics, Short Treatise, and Descartes’ Principles of Philosophy Demonstrated in the Geometric Manner. In Tractatus de Intellectu Emendatione, Spinoza talks about “a way of healing the intellect, and purifying it” that might precede geometrical demonstration but gives no definition of the intellect or any general procedure for acquiring true definitions. This chapter examines how one acquires these definitions, discussing first what Spinoza might have considered to be the advantages or virtues of geometrical demonstration: transparency, force, security, scale, compactness, flexibility, generality, and sense-independence. It then analyzes Spinoza’s relation to Descartes, highlighting the distinction between the analytic and the synthetic method, their different sense of geometrical order, and another virtue of geometry: ease. Finally, it invokes the idea of method Spinoza outlined in Emendatione as a solution to the puzzle mentioned earlier.


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