Reliability of Vibration Transfer Path Systems

2015 ◽  
Vol 752-753 ◽  
pp. 778-783 ◽  
Author(s):  
Wei Zhao ◽  
Ping Chen ◽  
Yi Min Zhang
Keyword(s):  
Finite Element ◽  
Theoretical Foundation ◽  
Stochastic Finite Element ◽  
Dynamic Design ◽  
Transfer Path ◽  
Practical Project ◽  
Mathematical Expressions ◽  
Matrix Calculus ◽  
The Matrix ◽  
Element Theory

Based on the matrix calculus, the generalized second moment technique and the stochastic finite element theory, the effective approach for the transfer reliability of vibration transfer path systems was presented. The transfer reliability of vibration transfer path systems with uncertain path parameters including mass and stiffness was analyzed theoretically and computed numerically, and the correlated mathematical expressions were obtained. Thus, it provides the theoretical foundation for the dynamic design of vibration systems in practical project, so that most uncertain factors can be considered to solve the random problems for vibration transfer path systems.

scholarly journals Reliability Analysis of Random Vibration Transmission Path Systems

2017 ◽  
Vol 2017 ◽  
pp. 1-6 ◽  
Author(s):  
Wei Zhao ◽  
Yi-Min Zhang
Keyword(s):  
Random Vibration ◽  
Vibration Source ◽  
Vibration Transmission ◽  
Transmission Path ◽  
Transfer Path ◽  
Practical Project ◽  
Mathematical Expressions ◽  
The Matrix ◽  
Path System ◽  
Element Theory

The vibration transmission path systems are generally composed of the vibration source, the vibration transfer path, and the vibration receiving structure. The transfer path is the medium of the vibration transmission. Moreover, the randomness of transfer path influences the transfer reliability greatly. In this paper, based on the matrix calculus, the generalized second moment technique, and the stochastic finite element theory, the effective approach for the transfer reliability of vibration transfer path systems was provided. The transfer reliability of vibration transfer path system with uncertain path parameters including path mass and path stiffness was analyzed theoretically and computed numerically, and the correlated mathematical expressions were derived. Thus, it provides the theoretical foundation for the dynamic design of vibration systems in practical project, so that most random path parameters can be considered to solve the random problems for vibration transfer path systems, which can avoid the system resonance failure.

scholarly journals Hysteretic Behavior of Random Particulate Composites by the Stochastic Finite Element Method

Materials ◽  
2019 ◽  
Vol 12 (18) ◽  
pp. 2909 ◽  
Author(s):  
Damian Sokołowski ◽  
Marcin Kamiński
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Cyclic Stretch ◽  
Hysteretic Behavior ◽  
Particulate Composites ◽  
Strain History ◽  
Stochastic Finite Element Method ◽  
Stochastic Finite Element ◽  
The Matrix ◽  
Element Method

Hysteretic behavior of random particulate composite was analyzed using the stochastic finite element method and three independent probabilistic formulations, i.e., generalized iterative stochastic perturbation technique of the tenth order, Monte-Carlo simulation, and semi-analytical method. This study was based on computational homogenization of the representative volume element (RVE), and its main focus was to demonstrate an influence of random stress in constitutive relation to the matrix on the deformation energies stored in the effective (homogenized) medium. This was done numerically for an increasing uncertainty of random matrix admissible stress with a Gaussian probability density function, for which the relations to the energies of the entire composite were approximated via the weighted least squares method algorithm. This composite was made of two phases, a hyper-elastic matrix exhibiting hysteretic behavior and a linear elastic spherical reinforcing particle located centrally in the RVE. The RVE was subjected to a cyclic stretch with an increasing amplitude, and computations of deformation energies were carried out using the finite element method system ABAQUS. A stress–strain history of the homogenized medium has been presented for the extreme and for the mean mechanical properties of the matrix to illustrate the random hysteresis of the given composite. The first four probabilistic moments and coefficients of the RVE deformation energy were determined and have been presented in addition to the input statistical scattering of the admissible stresses.

Stochastic Finite Element Theory Based on Visco-Plasto Constitution

2013 ◽  
Vol 663 ◽  
pp. 672-675
Author(s):  
Ya Jun Wang ◽  
Yu Hu ◽  
Zheng Zuo ◽  
Xiao Qing Gan ◽  
Zhi Hong Dong
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Boundary Conditions ◽  
Stochastic Theory ◽  
Stochastic Finite Element Method ◽  
Stochastic Finite Element ◽  
Stochastic Fem ◽  
Non Linear ◽  
Element Theory ◽  
Important Character

Most geo-engineering cases have non-linearity. Particularly, the material non-linearity is an important character of geo-engineering cases. Due to the randomness of materials’ spatial variation as well as boundary conditions’ fluctuation, these cases’ study incorporates stochastic theory. Stochastic finite element method is applicable for the randomness. The visco-plasto constitution is helpful for non-linear stochastic FEM application. The algorithm for non-linear stochastic FEM was established.

Modal properties of macaw palm fruit-rachilla system: An approach by the stochastic finite element method (SFEM)

2021 ◽  
Vol 184 ◽  
pp. 106099
Author(s):  
Fábio Lúcio Santos ◽  
Francisco Scinocca ◽  
Deisenara de Siqueira Marques ◽  
Nara Silveira Velloso ◽  
Flora Maria de Melo Villar
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stochastic Finite Element Method ◽  
Stochastic Finite Element ◽  
Palm Fruit ◽  
Modal Properties ◽  
Macaw Palm ◽  
Element Method

scholarly journals Predictive Computational Model for Damage Behavior of Metal-Matrix Composites Emphasizing the Effect of Particle Size and Volume Fraction

Materials ◽  
2021 ◽  
Vol 14 (9) ◽  
pp. 2143
Author(s):  
Shaimaa I. Gad ◽  
Mohamed A. Attia ◽  
Mohamed A. Hassan ◽  
Ahmed G. El-Shafei
Keyword(s):  
Finite Element ◽  
Metal Matrix Composites ◽  
Metal Matrix ◽  
Volume Fraction ◽  
Particulate Composites ◽  
Aluminum Matrix Composites ◽  
Matrix Composites ◽  
Zone Method ◽  
Stress Strain ◽  
The Matrix

In this paper, an integrated numerical model is proposed to investigate the effects of particulate size and volume fraction on the deformation, damage, and failure behaviors of particulate-reinforced metal matrix composites (PRMMCs). In the framework of a random microstructure-based finite element modelling, the plastic deformation and ductile cracking of the matrix are, respectively, modelled using Johnson–Cook constitutive relation and Johnson–Cook ductile fracture model. The matrix-particle interface decohesion is simulated by employing the surface-based-cohesive zone method, while the particulate fracture is manipulated by the elastic–brittle cracking model, in which the damage evolution criterion depends on the fracture energy cracking criterion. A 2D nonlinear finite element model was developed using ABAQUS/Explicit commercial program for modelling and analyzing damage mechanisms of silicon carbide reinforced aluminum matrix composites. The predicted results have shown a good agreement with the experimental data in the forms of true stress–strain curves and failure shape. Unlike the existing models, the influence of the volume fraction and size of SiC particles on the deformation, damage mechanism, failure consequences, and stress–strain curve of A359/SiC particulate composites is investigated accounting for the different possible modes of failure simultaneously.

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