Verification of the LIRA-FEM software

Verification of the LIRA-FEM software / Задачи устойчивости, в основном изгибно-крутильные формы потери устойчивости

Тест 4.1 Shell stability

Analytical solution: L. D. Landau, E. M. Lifshitz Theory of Elasticity, M.: Science, 1987, p. 123.
For the construction of the scheme used FE 41 (rectangular FE). Number of nodes:606. Number of elements:500.

Тест 4.2 Console stability

Analytical solution: L. D. Landau, E. M. Lifshitz Theory of Elasticity, M.: Science, 1987, p. 120.
For the construction of the scheme was used FE 10 (rod FE). Number of nodes:101. Number of elements:100.

Тест 4.3 Stability of a uniformly loaded cantilever

Analytical solution: L. D. Landau, E. M. Lifshitz Theory of Elasticity, M.: Science, 1987, p. 122. 122
For the construction of the scheme was used FE 10 (rod FE). Number of nodes:101. Number of elements:100.

Тест 4.4 Stability of the flat cantilever bend form

Analytical solution: L. D. Landau, E. M. Lifshitz Theory of Elasticity, M.: Nauka, 1987, p. 123.
For the construction of the scheme was used FE 10 (rod FE). Number of nodes:101. Number of elements:100.

Тест 4.5 Stability of a flat bend shape of an articulated beam

Analytical solution: L. D. Landau, E. M. Lifshitz Theory of Elasticity, M.: Science, 1987, p. 123.
For the construction of 1,2 of the scheme used FE 10 (rod FE). Number of nodes of each circuit:101. Number of elements of each circuit:100.

Тест 4.6 Torsional Stability

Analytical solution: L. D. Landau, E. M. Lifshitz Theory of Elasticity, M.: Science, 1987, p. 121.
For the construction of 1,2,3 of the scheme used FE 10 (rod FE). Number of nodes of each circuit:101. Number of elements of each circuit:100.

Тест 4.7 Stability of the rod with rigid inserts

Numerical solution: Calculation with replacement of the rigid insert by a rod of high stiffness.
For the construction of 1,2 of the scheme used FE 10 (rod FE). Number of nodes of each circuit:3. Number of elements of each circuit:2.

Тест 4.11 Console torsional stability (new)

Analytical solution: A. V. Perelmuter, V. I. Slivker Stability of structures and related issues, M: SCADSOFT Publishing House, 2007, p. 552. 552.
For the construction of the scheme used FE 10 (rod FE). Number of nodes:107. Number of elements:106.

Тест 4.12 Stability of an articulated beam under bending (new)

Analytical solution: A. V. Perelmuter, V. I. Slivker Stability of structures and related issues, M: SCADSOFT Publishing House, 2007, p. 554. 554.
For the construction of the scheme used FE 10 (rod FE). Number of nodes:115. Number of elements:114.

Тест 4.13 Console bending stability (new)

Analytical solution: A. V. Perelmuter, V. I. Slivker Stability of structures and related issues, Moscow: SCADSOFT Publishing House, 2007, p. 573. 573.
For the construction of the scheme was used FE 10 (rod FE). Number of nodes:108. Number of elements:107.

Тест 4.14 Console stability with no force (new)

Analytical solution: A. V. Perelmuter, V. I. Slivker Stability of structures and related issues, Moscow: SCADSOFT Publishing House, 2007, p. 585. 585.
For the construction of the scheme was used FE 10 (rod FE). Number of nodes:108. Number of elements:107.

Тест 4.9 Stability of an articulated beam under distributed moment loading (new)

Analytical solution: A. V. Perelmuter, V. I. Slivker Stability of structures and related issues, Moscow: SCADSOFT Publishing House, 2007, p. 582. 582.
For the construction of the scheme was used FE 10 (rod FE). Number of nodes:101. Number of elements:100.

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