AutoFEM Finite Element Analysis Verification Tests

- 3 -

- A -

	Torsion of Shaft with Circular Cross-section
	Torsion of a Shaft under the Action of Two Torques
	Torsion of a Thin Tube under the Action of Two Torques

axial

	Axial Vibration Frequency and Transverse Vibration Frequency of the Beam with a Weight
	Axial Vibration Frequency and Transverse Vibration Frequency of the Beam with the Weight (surface)

axial vibration

	Axial Vibration Frequency and Transverse Vibration Frequency of the Beam with a Weight
	Axial Vibration Frequency and Transverse Vibration Frequency of the Beam with the Weight (surface)

- B -

bar

beam

	Bending a Cantilevered Beam under a Concentrated Load
	Bending a T-shaped Beam
	Bending a T-shaped Beam
	Deflection of a Beam under a Uniformly Distributed Load
	Torsion of a Beam with the Square Cross-Section
	Beam on Elastic Foundation
	Bending a T-shaped Beam (surface)
	Deflection of a Plate under the Gravitation
	Deflection of a Plate under Pressure
	Infinite Beam on Elastic Foundation

beam with weight

	Axial Vibration Frequency and Transverse Vibration Frequency of the Beam with a Weight
	Axial Vibration Frequency and Transverse Vibration Frequency of the Beam with the Weight (surface)

bending

	Bending a Cantilevered Beam under a Concentrated Load
	Bending a Cantilevered Beam under a Concentrated Load
	Bending a T-shaped Beam
	Bending a T-shaped Beam
	Bending of a Simply-Supported Beam Under Impact in the Middle
	Bar 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 Torque that linearly
	Bending a Cantilevered Beam under a Concentrated Load (surface)
	Bending a T-shaped Beam (surface)
	Bending of a Simply-supported Beam Under Impact in the Middle
	Hollow Shaft Loaded with Sinusoidal Torque on Free End

Bending a T-shaped Beam

bending vibrations

	Bending Vibrations of a Circular Ring
	Bending Vibrations of a Circular Ring (surface)

biaxial tension

brick

buckling

	Buckling Analysis of a Compressed Straight Beam
	Buckling Analysis of Square Plate
	Buckling Analysis of Rectangular Plate
	Buckling Analysis of a Compressed Straight Beam (surface)

- C -

cantilever beam

	Deflection of a Cantilevered Beam under a Weight at its End
	Natural Frequencies of a Cantilever Beam
	First Natural Frequency of the Cantilever Beam under the Stretching Longitudinal Force
	Natural Frequencies of a Cantilever Beam (surface)
	First Natural Frequency of the Cantilever Beam under the Stretching Longitudinal Force_2

cantilevered

cantilevered beam

	Bending a Cantilevered Beam under a Concentrated Load
	Bending a Cantilevered Beam under a Concentrated Load
	Bending of a Simply-Supported Beam Under Impact in the Middle
	Bar 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 Torque that linearly
	Bending a Cantilevered Beam under a Concentrated Load (surface)
	Bending of a Simply-supported Beam Under Impact in the Middle
	Hollow Shaft Loaded with Sinusoidal Torque on Free End

centrifugal

	Analysis of Rotating Solid Disc of Constant Thickness
	Static Analysis of Rotating Solid Disc of Constant Thickness (surface)

centrifugal force

chip

circular cross-section

circular plate

	Large Deflection of a Circular Plate
	Large Deflection of a Circular Plate (surface)

circular ring

	Bending Vibrations of a Circular Ring
	Bending Vibrations of a Circular Ring (surface)

clamped

	Clamped Square Plate Under a Uniformly Distributed Load
	Static Analysis of a Round Plate Clamped along the Contour (surface)
	Clamped Square Plate Under a Uniformly Distributed Load_sur

Clamped Along the Contour

Clamped Square Plate

compressed beam

	Buckling Analysis of a Compressed Straight Beam
	Buckling Analysis of a Compressed Straight Beam (surface)

compressed tube

concentrated load

	Bending a Cantilevered Beam under a Concentrated Load
	Bending of a Simply-Supported Beam Under Impact in the Middle
	Bar 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 Torque that linearly
	Bending a Cantilevered Beam under a Concentrated Load (surface)
	Bending of a Simply-supported Beam Under Impact in the Middle
	Hollow Shaft Loaded with Sinusoidal Torque on Free End

contact

	Contact of Flat Spring
	Contact Between a Cylindrical Bar and the Eye Ring

convection

	Isotropic Plate under Heat Flux and Convection
	Thermal Heat Flux in an Isotropic Disk
	Non-Stationary Temperature Field in an Isotropic Sphere with Convection on the Surface

convective

cylindrical bar

cylindrical reservoir

	Cylindrical Reservoir with Walls of Constant Thickness
	Cylindrical Reservoir with Walls of Constant Thickness
	Cylindrical Reservoir with Walls of Constant Thickness (surface)

cylindrical surface

	Distributed Heat Source applied to the Cylindrical Surface inside the Disk
	Distributed Heat Source Applied to the Cylindrical Surface inside the Disk (surface)

cylindrical surfaces

cylindrical wall

- D -

damping

	Forced Oscillation of a Spring-Mass System
	Vibrations of a Spring-Mass System Because of Oscillating Foundation

damping coefficient

	Forced Oscillation of a Spring-Mass System
	Vibrations of a Spring-Mass System Because of Oscillating Foundation

deflection

	Deflection of a Beam under a Uniformly Distributed Load
	Static Analysis of a Round Plate Clamped along the Contour
	Deflection of a Plate under the Gravitation
	Deflection of a Plate under Pressure

Deflection of the beam

disk

	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
	Disk Having a Constant Temperature on the External Cylindrical Surface and Being Heated along the Axis (surface)
	Distributed Heat Source Applied to the Cylindrical Surface inside the Disk (surface)

distributed heat source

	Distributed Heat Source applied to the Cylindrical Surface inside the Disk
	Distributed Heat Source Applied to the Cylindrical Surface inside the Disk (surface)

distributed load

	Deflection of a Beam under a Uniformly Distributed Load
	Clamped Square Plate Under a Uniformly Distributed Load
	Large Deflection of a Circular Plate
	Deflection of a Plate under the Gravitation
	Large Deflection of a Circular Plate (surface)

- E -

elastic foundation

	Beam on Elastic Foundation
	Infinite Beam on Elastic Foundation

Euler's problem

	Buckling Analysis of a Compressed Straight Beam
	Buckling Analysis of a Compressed Straight Beam (surface)

external environment

eye ring

- F -

first natural frequency

	First Natural Frequency of the Cantilever Beam under the Stretching Longitudinal Force
	Determining the First Natural Frequency of a Round Plate
	First Natural Frequency of a Spring-Mass System
	First Natural Frequency of the Cantilever Beam under the Stretching Longitudinal Force_2
	Determining the First Natural Frequency of a Round Plate (surface)

flat spring

force

force at center

	Square Plate Subjected to Force at Center
	Square Plate Subjected to Force at Center (surface)

forced oscillation

	Forced Oscillation of a Spring-Mass System
	Forced Oscillation of a Simply Supported Plate
	Vibrations of a Simply Supported Plate Because of the Middle Point Oscillation

- G -

graphite

- H -

heat flow

heat flux

	Isotropic Plate under Heat Flux and Convection
	Thermal Heat Flux in an Isotropic Disk

heat flux and convection

	Disk with a Constant Temperature on the External Cylindrical Surface is being heated along the axis
	Disk Having a Constant Temperature on the External Cylindrical Surface and Being Heated along the Axis (surface)

heated along axis

	Disk with a Constant Temperature on the External Cylindrical Surface is being heated along the axis
	Disk Having a Constant Temperature on the External Cylindrical Surface and Being Heated along the Axis (surface)

- I -

	Isotropic Plate under Heat Flux and Convection
	Thermal Heat Flux in an Isotropic Disk (surface)

isotropic sphere

	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

- L -

large deflection

	Large Deflection of a Circular Plate
	Large Deflection of a Circular Plate (surface)

longitudinal force

	First Natural Frequency of the Cantilever Beam under the Stretching Longitudinal Force
	First Natural Frequency of the Cantilever Beam under the Stretching Longitudinal Force_2

- M -

mechanical oscillator

middle point oscillation

multilayer wall

- N -

natural frequencies

	Natural Frequencies of a Cantilever Beam
	Natural Vibrations of Spherical Dome
	Bending Vibrations of a Circular Ring
	Axial Vibration Frequency and Transverse Vibration Frequency of the Beam with a Weight
	Natural Frequencies of a Cantilever Beam (surface)
	Natural Vibrations of Spherical Dome (surface)
	Bending Vibrations of a Circular Ring (surface)
	Axial Vibration Frequency and Transverse Vibration Frequency of the Beam with the Weight (surface)

natural vibrations

	Natural Vibrations of Spherical Dome
	Bending Vibrations of a Circular Ring
	Axial Vibration Frequency and Transverse Vibration Frequency of the Beam with a Weight
	Natural Vibrations of Spherical Dome (surface)
	Bending Vibrations of a Circular Ring (surface)
	Axial Vibration Frequency and Transverse Vibration Frequency of the Beam with the Weight (surface)

nonlinear problem

	Large Deflection of a Circular Plate
	Large Deflection of a Circular Plate (surface)

non-stationary

	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

- O -

on the surface

	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

orthotropic

	Stresses of an Orthotropic Plate at Biaxial Tension
	Orthotropic Graphite Plate under Steady State Temperature Regime

orthotropic graphite plate

orthotropic plate

oscillating foundation

oscillation

- P -

plain plates

plate

plate finite elements

	Bending a Cantilevered Beam under a Concentrated Load (surface)
	Bending a T-shaped Beam (surface)
	Deflection of a Plate under the Gravitation
	Static Analysis of a Round Plate Clamped along the Contour (surface)
	Square Plate Subjected to Force at Center (surface)
	Clamped Square Plate Under a Uniformly Distributed Load_sur
	Cylindrical Reservoir with Walls of Constant Thickness (surface)
	Torsion of a Tube with Ring Cross-Section
	Static Analysis of Rotating Solid Disc of Constant Thickness (surface)
	Deflection of the Beam under the Action of Three Forces (surface)
	Strip under the Action of Two Tensile Forces
	Torsion of a Thin Tube under the Action of Two Torques
	Deflection of a Plate under Pressure
	Thermal Deformations of a 2-D Plate
	Natural Frequencies of a Cantilever Beam (surface)
	First Natural Frequency of the Cantilever Beam under the Stretching Longitudinal Force_2
	Determining the First Natural Frequency of a Round Plate (surface)
	Natural Vibrations of Spherical Dome (surface)
	Bending Vibrations of a Circular Ring (surface)
	Axial Vibration Frequency and Transverse Vibration Frequency of the Beam with the Weight (surface)
	Buckling Analysis of a Compressed Straight Beam (surface)
	Buckling Analysis of Square Plate (surface)
	Buckling Analysis of Rectangular Plate (surface)
	Buckling Analysis of a Compressed Tube (surface)
	Forced Oscillation of a Simply Supported Plate
	Vibrations of a Simply Supported Plate Because of the Middle Point Oscillation
	Disk Having a Constant Temperature on the External Cylindrical Surface and Being Heated along the Axis (surface)
	Distributed Heat Source Applied to the Cylindrical Surface inside the Disk (surface)
	Thermal Heat Flux in an Isotropic Disk (surface)

point power source

point source

point source inside the sphere

pressure

	Static Analysis of a Round Plate Clamped along the Contour
	Deflection of a Plate under Pressure

pressure of liquid

	Cylindrical Reservoir with Walls of Constant Thickness
	Cylindrical Reservoir with Walls of Constant Thickness (surface)

- R -

radiation

	Radiation of a Plate into External Environment
	Hollow Sphere Radiating Outwards

radiation of a plate

Rayleigh damping

	Forced Oscillation of a Spring-Mass System
	Vibrations of a Spring-Mass System Because of Oscillating Foundation

rectangular plate

	Buckling Analysis of Rectangular Plate
	Buckling Analysis of Rectangular Plate (surface)

	Analysis of Rotating Solid Disc of Constant Thickness
	Static Analysis of Rotating Solid Disc of Constant Thickness (surface)

rotating solid disc

round plate

	Static Analysis of a Round Plate Clamped along the Contour
	Static Analysis of a Round Plate Clamped along the Contour
	Determining the First Natural Frequency of a Round Plate
	Determining the First Natural Frequency of a Round Plate (surface)

- S -

shell finite elements

	Bending a Cantilevered Beam under a Concentrated Load (surface)
	Bending a T-shaped Beam (surface)
	Deflection of a Plate under the Gravitation
	Static Analysis of a Round Plate Clamped along the Contour (surface)
	Square Plate Subjected to Force at Center (surface)
	Clamped Square Plate Under a Uniformly Distributed Load_sur
	Cylindrical Reservoir with Walls of Constant Thickness (surface)
	Torsion of a Tube with Ring Cross-Section
	Static Analysis of Rotating Solid Disc of Constant Thickness (surface)
	Deflection of the Beam under the Action of Three Forces (surface)
	Strip under the Action of Two Tensile Forces
	Torsion of a Thin Tube under the Action of Two Torques
	Deflection of a Plate under Pressure
	Thermal Deformations of a 2-D Plate
	Natural Frequencies of a Cantilever Beam (surface)
	First Natural Frequency of the Cantilever Beam under the Stretching Longitudinal Force_2
	Determining the First Natural Frequency of a Round Plate (surface)
	Natural Vibrations of Spherical Dome (surface)
	Bending Vibrations of a Circular Ring (surface)
	Axial Vibration Frequency and Transverse Vibration Frequency of the Beam with the Weight (surface)
	Buckling Analysis of a Compressed Straight Beam (surface)
	Buckling Analysis of Square Plate (surface)
	Buckling Analysis of Rectangular Plate (surface)
	Buckling Analysis of a Compressed Tube (surface)
	Forced Oscillation of a Simply Supported Plate
	Vibrations of a Simply Supported Plate Because of the Middle Point Oscillation
	Disk Having a Constant Temperature on the External Cylindrical Surface and Being Heated along the Axis (surface)
	Distributed Heat Source Applied to the Cylindrical Surface inside the Disk (surface)
	Thermal Heat Flux in an Isotropic Disk (surface)

simply supported plate

	Forced Oscillation of a Simply Supported Plate
	Vibrations of a Simply Supported Plate Because of the Middle Point Oscillation

sphere

	Flow of Heat in a Sphere
	Point Power Source inside the Sphere

spherical dome

	Natural Vibrations of Spherical Dome
	Natural Vibrations of Spherical Dome (surface)

spherical surfaces

springed brick

spring-mass

	First Natural Frequency of a Spring-Mass System
	Forced Oscillation of a Spring-Mass System
	Vibrations of a Spring-Mass System Because of Oscillating Foundation

square cross-section

square plate

	Square Plate Subjected to Force at Center
	Square Plate Subjected to Force at Center
	Clamped Square Plate Under a Uniformly Distributed Load
	Buckling Analysis of Square Plate
	Square Plate Subjected to Force at Center (surface)
	Clamped Square Plate Under a Uniformly Distributed Load_sur
	Buckling Analysis of Square Plate (surface)

stabilize

	Deflection of the Beam under the Action of Three Forces
	Beam under the Action of Two Tensile Forces
	Torsion of a Shaft under the Action of Two Torques
	Deflection of the Beam under the Action of Three Forces (surface)
	Strip under the Action of Two Tensile Forces

static analysis

steady state temperature

steady-state

steady-state temperature

stretching

	First Natural Frequency of the Cantilever Beam under the Stretching Longitudinal Force
	First Natural Frequency of the Cantilever Beam under the Stretching Longitudinal Force_2

subgrade reaction

	Beam on Elastic Foundation
	Infinite Beam on Elastic Foundation

surface

symmetry conditions

	Analysis of Rotating Solid Disc of Constant Thickness
	Flow of Heat in a Sphere
	Static Analysis of Rotating Solid Disc of Constant Thickness (surface)

- T -

temperature field

	Temperature Field of a Thermal System of a Heat Sink and a Chip
	Temperature Field of a Two Cylinders with a Thermal Resistance Between
	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

tensile

	Beam under the Action of Two Tensile Forces
	Strip under the Action of Two Tensile Forces

thermal conductivity

	Flow of Heat in a Sphere
	Thermal Conductivity of a Cylindrical Wall
	Thermal Heat Flux in an Isotropic Disk

thermal contact

	Thermal Contact Between Plain Plates
	Thermal Contact Between Cylindrical Surfaces
	Thermal Contact Between Spherical Surfaces

thermal deformations

	Thermal Deformations of a 3-D Brick
	Thermal Deformations of a 2-D Plate

thermal resistance

thermal system

thin tube

	Torsion of a Tube with Ring Cross-Section
	Torsion of a Thin Tube under the Action of Two Torques

thotropic plate

three forces

	Deflection of the Beam under the Action of Three Forces
	Deflection of the Beam under the Action of Three Forces
	Deflection of the Beam under the Action of Three Forces (surface)

torsion

	Torsion of Shaft with Circular Cross-section
	Torsion of a Beam with the Square Cross-Section
	Torsion of a Tube with Ring Cross-Section
	Torsion of a Thin Tube under the Action of Two Torques

torsion of a beam

transverse

	Axial Vibration Frequency and Transverse Vibration Frequency of the Beam with a Weight
	Axial Vibration Frequency and Transverse Vibration Frequency of the Beam with the Weight (surface)

transverse vibration

	Axial Vibration Frequency and Transverse Vibration Frequency of the Beam with a Weight
	Axial Vibration Frequency and Transverse Vibration Frequency of the Beam with the Weight (surface)

T-shaped

	Bending a T-shaped Beam
	Bending a T-shaped Beam
	Bending a T-shaped Beam (surface)

T-shaped beam

	Bending a T-shaped Beam
	Bending a T-shaped Beam (surface)

tube

two cylinders

two embedded cylinders

two forces

	Beam under the Action of Two Tensile Forces
	Strip under the Action of Two Tensile Forces

two torques

	Torsion of a Shaft under the Action of Two Torques
	Torsion of a Thin Tube under the Action of Two Torques

- U -

unfixed

	Deflection of the Beam under the Action of Three Forces
	Beam under the Action of Two Tensile Forces
	Torsion of a Shaft under the Action of Two Torques
	Deflection of the Beam under the Action of Three Forces (surface)
	Strip under the Action of Two Tensile Forces

unfixed model

	Deflection of the Beam under the Action of Three Forces
	Beam under the Action of Two Tensile Forces
	Torsion of a Shaft under the Action of Two Torques
	Deflection of the Beam under the Action of Three Forces (surface)
	Strip under the Action of Two Tensile Forces

uniformly distributed load

	Clamped Square Plate Under a Uniformly Distributed Load
	Clamped Square Plate Under a Uniformly Distributed Load_sur
	Deflection of a Plate under Pressure

- W -

weight

weight at end