scholarly journals SINGULAR BOUNDARY METHOD IN A FREE VIBRATION ANALYSIS OF COMPOUND LIQUID-FILLED SHELLS

2019 ◽  
Author(s):  
VASYL I. GNITKO ◽  
KYRYL G. DEGTYARIOV ◽  
ARTEM O. KARAIEV ◽  
ELENA A. STRELNIKOVA
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Singular Boundary ◽  
Boundary Method ◽  
Singular Boundary Method

Matched Interface and Boundary Method for Free Vibration Analysis of Irregular Membranes

2020 ◽  
pp. 2041006
Author(s):  
Zhiwei Song ◽  
Xiaoqiao He ◽  
Wei Li ◽  
De Xie
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Numerical Results ◽  
Irregular Domains ◽  
Topological Relations ◽  
Geometric Shapes ◽  
Cartesian Mesh ◽  
Boundary Method ◽  
Vibration Problems

Matched interface and boundary (MIB) method is introduced for free vibration analysis of irregular membranes. Two distinct schemes-on-interface and off-interface schemes are used to deal with the topological relations between edges of irregular domains and the Cartesian mesh lines. Different geometric shapes such as triangle and quadrilateral are dealt with by using MIB procedures. A number of examples are chosen to demonstrate the accuracy and convergence of MIB method. Numerical results show that MIB method is an efficient and highly accurate approach to solve free vibration problems of irregular membranes. This study further extends the application of MIB.

Numerical Stability of GFEM Evaluation for Free Vibration Analysis in Trussed Structures

2017 ◽  
Author(s):  
Thamara Petroli ◽  
Marcos Arndt ◽  
Paulo de Oliveira Weinhardt ◽  
ROBERTO Dalledone Machado
Keyword(s):  
Free Vibration ◽  
Numerical Stability ◽  
Vibration Analysis ◽  
Free Vibration Analysis
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