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

Bending a T-shaped beam

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

Bar subjected to self-weight

Analysis of rotating solid disc of constant thickness

Deflection of the beam with the weight

Beam on elastic foundation

Large deflection of a plate

Bending a beam under 3 forces

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 of flat spring

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

Bending vibrations of a ring

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

Flow of heat in sphere

Thermal conductivity of cylindrical wall

Thermal contact (plain plates)

Thermal contact (cylinder)

Thermal contact (sphere)

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

 

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