Verification of the LIRA-FEM software

Verification of the LIRA-FEM software / Linear dynamic problems

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

Тест 6.2 Dynamic problem for a rod with free ends

Analytical solution: S. Timoshenko, D. H. Young, Vibration Problems in Engineering, 3rd Edition, D. Van Nostrand Co., Inc., New York, NY, 1955, pg. 311, problem 2.
For the construction of the scheme was used FE 10 (rod FE). Number of nodes:49. Number of elements:49

Тест 6.3 Calculation of a system with one degree of freedom by an accelerogram

Analytical solution: R. Clough, J. Penzien. Dynamics of Structures. M., Stroyizdat, 1979, pp. 101-109., Example 7.1
For the construction of 1, 3, 3 of the scheme used FE 10 (rod FE). Number of nodes of each scheme:2. Number of elements of each circuit:1.

Verification examples


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