TAILIEUCHUNG - A comparison between different finite elements for elastic and aero-elastic analyses

In the present paper, a comparison between five different shell finite elements, including the Linear Triangular Element, Linear Quadrilateral Element, Linear Quadrilateral Element based on deformation modes, 8-node Quadrilateral Element, and 9-Node Quadrilateral Element was presented. The shape functions and the element equations related to each element were presented through a detailed mathematical formulation. Additionally, the Jacobian matrix for the second order derivatives was simplified and used to derive each element’s strain-displacement matrix in bending. The elements were compared using carefully selected elastic and aero-elastic bench mark problems, regarding the number of elements needed to reach convergence, the resulting accuracy, and the needed computation time. The best suitable element for elastic free vibration analysis was found to be the Linear Quadrilateral Element with deformation-based shape functions, whereas the most suitable element for stress analysis was the 8- Node Quadrilateral Element, and the most suitable element for aero-elastic analysis was the 9-Node Quadrilateral Element. Although the linear triangular element was the last choice for modal and stress analyses, it establishes more accurate results in aero-elastic analyses, however, with much longer computation time. Additionally, the nine-node quadrilateral element was found to be the best choice for laminated composite plates analysis. | A comparison between different finite elements for elastic and aero-elastic analyses

• Vật lý
• Finite element method
• Triangular element
• Quadrilateral element
• Free vibration analysis
• Stress analysis
• Aero elastic analysis
• The finite element method
• Further topics
• The boundary element method
• Computational aspects
• Lecture Finite element method
• Basis equation of plane problem
• Finite element discretization
• Quadrilateral plane element
• Triangular plane element
• Introduction to the finite element method
• Finite element equations
• Heat transfer
• Fem for solid mechanics problems
• Finite elements
• The finite element method in engineering
• Interpolation models
• Isoparametric elements
• System equations
• Introduction to mechanics
• Fundamentals for finite element method
• FEM for beams
• FEM for frames
• FEM for Two Dimensional solids
• Finite element method using MATLAB
• CRC Mechanical engineering series
• Approximation techniques
• Finite element programming
• Direct approach
• Vietnam Journal of Mechanics
• Smoothed finite element method
• Two dimensional elasto plasticity
• The finite element
• The smoothed finite element method
• Mesh distortion and volumetric locking
• The isoparametric concept
• Higher order elements
• Adaptive finite element refinement
• The time dimension
• Couple systems
• Finite element analysis
• Computer procedures
• Locking phenomena in finite element analysis
• Deep beam and removal method
• Exhibit slow convergence
• Finite Element Methods
• Bài giảng Phương pháp phần tử hữu hạn
• Stiffness method
• Stiffness matrix
• Boundary conditions
• Lecture Structural analysis
• Finite element
• Structural analysis
• Finite element approach
• Element approach
• A first course in the finite element method
• Introduction to the stiffness method
• Development of truss equations
• Development of beam equations
• The plane stress
• Numerical method
• Electro Magnetic analysis
• Thermal analysis
• Axisymmetric elements
• Isoparametric formulation
• Three dimensional stress analysis
• Plate bending element
• Vibrational principles
• Galerkin approximation
• Partial differential equations
• Isoparametric finite elements
• Historical introduction
• Weighted residual
• Variational methods
• Elliptic problems
• Heat and fluid flow
• Some basic discrete systems
• Steady state heat conduction
• Transient heat conduction analysis
• Truss structures
• Elasticity problem
• Basic equations
• Solution procedure
• Three dimensional problems
• Dynamic analysis
• Cast3m implementation of the extended finite element method
• The extended finite element method for cohesive crack
• Quasi brittle materia
• The proposed implementation
• The displacement discontinuities
• The node based smoothed finite element method
• Free vibration problems
• The proposed formulation
• No spurious non zero energy modes
• Science and technology development
• Extended finite element method
• Simulating the mechanical behavior
• Multiple random holes and inclusions
• Functionally graded material
• The finite element method software
• Tạp chí khoa học và công nghệ
• Modeling the mechanical behavior
• Functionally graded material plates with multiple random inclusions
• Modeling of electromagnetic force
• Magnetic vector potential formulation via
• Sbproblem finite element method
• Subproblem finite element method
• Magnetic vector potential formulation