Explicit Solutions for the Static and Dynamic Analysis of Discretized Structures with Uncertain Parameters

Author(s):  
G. Muscolino ◽  
A. Sofi
2012 ◽  
Vol 466-467 ◽  
pp. 1279-1284
Author(s):  
Zhi Kun Luo ◽  
Ping He ◽  
Wei Tan ◽  
Guo Dong Jin

Frame acts as the structural backbone of a truck, which supports the components and payload placed upon it. When the truck travels along the road, the frame is subjected to vibration induced by road roughness and excitation by vibrating components such as power-train, transmission shaft and more that mounted on it. Though many researchers have made great progress in the static and dynamic analysis of truck frame, most research was based on the assumption that all the design parameters of truck frame were deterministic. However, design variables for truck frame are always uncertain in the actual realistic engineering cases due to tolerances in manufacturing and assembly processes. In this paper, fuzzy algorithm is introduced to analysis the response of the frame with uncertain parameters. By using fuzzy set theory, uncertain input parameters such as the elastic modulus, Poisson ratio are described mathematically as fuzzy variables or fuzzy random variables and integrated into mode analysis. The simulations are carried out to analysis the system performance under fuzzy uncertain parameters. Results are presented showing the effectiveness of the method for modeling systems with uncertain parameters.


Author(s):  
S. K. Singh ◽  
A. Banerjee ◽  
R. K. Varma ◽  
S. Adhikari ◽  
S. Das

2018 ◽  
Vol 18 (02) ◽  
pp. 1850017 ◽  
Author(s):  
Iwona Adamiec-Wójcik ◽  
Łukasz Drąg ◽  
Stanisław Wojciech

The static and dynamic analysis of slender systems, which in this paper comprise lines and flexible links of manipulators, requires large deformations to be taken into consideration. This paper presents a modification of the rigid finite element method which enables modeling of such systems to include bending, torsional and longitudinal flexibility. In the formulation used, the elements into which the link is divided have seven DOFs. These describe the position of a chosen point, the extension of the element, and its orientation by means of the Euler angles Z[Formula: see text]Y[Formula: see text]X[Formula: see text]. Elements are connected by means of geometrical constraint equations. A compact algorithm for formulating and integrating the equations of motion is given. Models and programs are verified by comparing the results to those obtained by analytical solution and those from the finite element method. Finally, they are used to solve a benchmark problem encountered in nonlinear dynamic analysis of multibody systems.


2002 ◽  
Vol 72 (6-7) ◽  
pp. 483-497 ◽  
Author(s):  
K. G. Tsepoura ◽  
S. Papargyri-Beskou ◽  
D. Polyzos ◽  
D. E. Beskos

2009 ◽  
Vol 2 (1/2/3/4/5/6) ◽  
pp. 251 ◽  
Author(s):  
K. Prabhakaran Nair ◽  
Mohammed Shabbir Ahmed ◽  
Saed Thamer Al qahtani

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