Тест 6.1 Dynamic problem under impulse action

Verification of the LIRA-FEM software / Тест 6.1 Dynamic problem under impulse action / Analytical solution: W. T. Thomson, Vibration Theory and Applications, 2nd Printing, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1965, pg. 99, article 4.1.

Linear dynamic problems

Analytical solution: W. T. Thomson, Vibration Theory and Applications, 2nd Printing, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1965, pg. 99, article 4.1.

Геометрия:

Material characteristics: k = 200lb/in; m = 0.5 lb-sec²/in.

Boundary conditions: u₁ = v₁ = u₃ = v₃ = 0.

Loads:

CALCULATION RESULTS:

Time	The desired value	Analytical solution	Calculation results (LIRA)	Uncertainty,%
Т=0,08с	Ymax, in (attenuation coefficient ξ=0)	0,99957	0,999975	0,04
Т=0,1с	Y, in (attenuation coefficient ξ=0)	0,9093	0,9194	1,11
Т=0,1с	Y, in (attenuation coefficient ξ=0,7)	0,3418	0,3469	1,49

Preview image: Array

Note: For the construction of the scheme was used FE 10 (rod FE). Number of nodes:49. Number of elements:49

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Тест 6.1 Dynamic problem under impulse action

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