Five Parameters Structural Damping Constitution and Its Application

Volume 2 ◽  
2004 ◽  
Author(s):  
Baixi Liu ◽  
Hongzhao Liu ◽  
Daning Yuan
Keyword(s):  
Finite Element ◽  
Differential Equations ◽  
Dynamic Equations ◽  
State Space Method ◽  
Structural Damping ◽  
Linkage Mechanism ◽  
Experiment Data ◽  
Viscoelastic Theory ◽  
Damping Model ◽  
Space Method

In this paper, the five parameters model of viscoelastic theory is introduced as the constitutive equation for damping alloy. Based on the experiment data, the five parameters are fitted by using an optimization algorithm. The finite element dynamic equations are derived through the established five parameters constitution. For the convenience of the computation, the established dynamic equations containing convolution integration are changed into ordinary differential equations. By means of the Kineto-Elastodynamic theory, the system dynamic equation of elastic linkage mechanism is gained. In order to solve the high order differential equations, the state space method is employed. An example is given to show that the model proposed in this paper is more accurate and stable than the three parameters damping model.

Dynamic Characteristics Analysis of Flexible Mechanism Using Three Parameters Damping Model

Volume 2 ◽  
2004 ◽  
Author(s):  
Hongzhao Liu ◽  
Baixi Liu ◽  
Daning Yuan
Keyword(s):  
Differential Equations ◽  
Dynamic Characteristics ◽  
Virtual Work ◽  
Dynamic Equations ◽  
Linkage Mechanism ◽  
Varying Coefficients ◽  
Characteristics Analysis ◽  
Time Varying Coefficients ◽  
Stiffness And Damping ◽  
Damping Model

In this paper, a practical structural damping model for the dynamic analysis of damping alloy is presented. The differential equations of the beam element with three parameters representing stiffness and damping characteristics are deduced through the three parameters constitution and the virtual work principle. By means of the Kineto-Elastodynamic theory, the established element dynamic equations are assembled into the system dynamic equations of flexible linkage mechanism. In order to solve the high order differential equations with time-varying coefficients, a closed form numerical algorithm is constructed. Lastly, an example of a four-bar elastic linkage mechanism is given to show the effectiveness of the proposed method in studying dynamic characteristics of structure containing damping alloy components.

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