Verification Tests of AutoFEM Analysis based on Tetrahedral Finite Elements
Version 3.x
In this chapter we review the results of solving several model studies that have an analytical solution, in order to assess the accuracy of the finite element analysis system output.
Static Analysis
Bending a cantilevered beam under a concentrated load
Deflection of a beam under a uniformly distributed load
Static analysis of a round plate clamped along the contour
Square plate subjected to force at center
Clamped square plate under uniform loading
Cylindrical reservoir with walls of constant thickness
Torsion of shaft with circular cross-section
Torsion of a beam with the square cross-section
Analysis of rotating solid disc of constant thickness
Deflection of the beam with the weight
Extension of a beam under 2 forces
Torsion of a shaft under 2 torques
Stresses and deformations of an orthotropic plate at biaxial tension
Thermoelasticity
Thermal deformations of a 3-D brick
Contact problems
Contact between a cylindrical bar and a ring
Frequency Analysis
Determining natural frequencies of beam vibration
First natural frequency of the cantilever beam under the stretching longitudinal force
Determining the first natural frequency of a round plate
Natural vibrations of spherical dome
Axial vibration frequency and transverse vibration frequency of the beam with the weight
First natural frequency of the spring-mass system
Buckling Analysis
Buckling Analysis of a compressed straight beam
Buckling Analysis of a square plate
Buckling Analysis of a rectangular plate
Forced Harmonic Oscillation
Forced oscillation of a spring-mass system
Vibrations of the spring-mass system because of oscillating foundation
Thermal Analysis
Steady-state temperature of a multilayer wall
Thermal conductivity of cylindrical wall
Thermal contact (plain plates)
Disk with a constant temperature on the external cylindrical surface is being heated along the axis
Distributed heat source applied to the cylindrical surface inside the disk
Point power source inside the sphere
Temperature field of a thermal system of a heat sink and a chip
Orthotropic graphite plate under steady state temperature regime
Temperature field of a two cylinders with a thermal resistance between them
Isotropic plate under heat flux and convection
Thermal heat flux in an isotropic disk
Radiation of a plate into external environment
Hollow sphere radiating outwards
Non-stationary temperature field in an isotropic sphere
Non-stationary temperature field in an isotropic sphere with the heat transfer on the surface
Non-stationary temperature field in an isotropic sphere with convection on the surface
Non-stationary temperature field in an isotropic cylinder
Non-stationary temperature field in an orthotropic plate
Dynamic Analysis
Bending of a Simply-supported Beam Under Impact in the Middle
Beam Loaded with Sinusoidal Force on the Free End
Hollow Shaft Loaded with Sinusoidal Torque on the Free End
Shaft with a Wheel Loaded with Sinusoidal Torque
Shaft with the Wheel Loaded with the Linearly Increasing Torque