Obtaining the dynamic frequency equation for the plate calculation by the Finite Element Method in the form of a classical mixed method

被引：0

作者：

Ignatyev, A. V. ^{[1
]}

机构：

[1] Volgograd State Tech Univ, 28 Lenin Ave, Volgograd 400005, Russia

来源：

VII INTERNATIONAL SYMPOSIUM ACTUAL PROBLEMS OF COMPUTATIONAL SIMULATION IN CIVIL ENGINEERING | 2018年 / 456卷

关键词：

FREE-VIBRATION ANALYSIS; STIFFNESS MATRIX; FORMULATION;

D O I：

10.1088/1757-899X/456/1/012110

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper studies the Algorithm of Free Frequency and Corresponding Forms of Free Oscillations Finding on the basis of the Finite Element Method in the form of Classical Mixed Method (FEM CMM). This form of FEM is alternative, with respect to the traditional travel and can be used to verify the results obtained from other numerical methods.

引用

页数：7

共 50 条

[41] Isogeometric Collocation Method to solve the strong form equation of UI-RM Plate Theory [J].

Katili, Irwan ;

Aristio, Ricky ;

Setyanto, Samuel Budhi .

STRUCTURAL ENGINEERING AND MECHANICS, 2020, 76 (04) :435-449

[42] A non-standard finite element method for dynamical behavior of cylindrical classical shell model [J].

Hernandez, E. ;

Spa, C. ;

Surriba, S. .

MECCANICA, 2018, 53 (4-5) :1037-1048

[43] Augmented mixed finite element method for the Oseen problem: A priori and a posteriori error analyses [J].

Barrios, Tomas P. ;

Manuel Cascon, J. ;

Gonzalez, Maria .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2017, 313 :216-238

[44] STABILIZED NONCONFORMING MIXED FINITE ELEMENT METHOD FOR LINEAR ELASTICITY ON RECTANGULAR OR CUBIC MESHES [J].

Zhang, Bei ;

Zhao, Jikun ;

Li, Minghao ;

Chen, Hongru .

JOURNAL OF COMPUTATIONAL MATHEMATICS, 2022, 40 (06) :869-885

[45] A symmetric mixed finite element method for nearly incompressible elasticity based on biorthogonal systems [J].

Lamichhane, Bishnu P. ;

Stephan, Ernst P. .

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2012, 28 (04) :1336-1353

[46] Analysis of an augmented fully-mixed finite element method for a bioconvective flows model [J].

Colmenares, Eligio ;

Gatica, Gabriel N. ;

Miranda, Willian .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2021, 393

[47] Mixed hp-finite element method for linear elasticity with weakly imposed symmetry [J].

Qiu, Weifeng ;

Demkowicz, Leszek .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2009, 198 (47-48) :3682-3701

[48] Element Grouping Method for the Calculation of Dynamic Response and Acoustic Radiation from an Underwater Structure [J].

Ji, Gang ;

Zhou, Qi Dou ;

Huang, Chun-wen .

VIBRATION, STRUCTURAL ENGINEERING AND MEASUREMENT I, PTS 1-3, 2012, 105-107 :189-+

[49] An extended finite element method for modeling elastoplastic FGM plate-shell type structures [J].

Jrad, Hanen ;

Mars, Jamel ;

Wali, Mondher ;

Dammak, Fakhreddine .

STRUCTURAL ENGINEERING AND MECHANICS, 2018, 68 (03) :299-312

[50] An efficient general curvilinear coordinates finite element method for the linear dynamic study of thickness-independent shells [J].

Martinez Valle, J. M. ;

Albanesi, A. ;

Fachinotti, V .

LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES, 2019, 16 (05)

← 1 2 3 4 5 →