ON ERRORS WHEN REPLACING NON-BIFURCATIONAL STABILITY PROBLEMS FOR ELASTIC FRAMES WITH BIFURCATIONAL ONES
Main Article Content
Abstract
The method of replacing the existing distributed load with an equivalent load in the form of concentrated forces applied at the nodes is often used in frame stability problems. This replacement of the initial flexural equilibrium with an unbended tension-compression equilibrium introduces certain errors in the calculated values of critical loads. These errors can be of different signs (ie, the calculated "pseudo-bifurcation" critical force can be either greater than the actual one or less than it). The paper demonstrates the errors of such a load change on the example of frame stability problems.
Downloads
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
References
Aleksandrov A.V., Potapov V.D., Zylev V.B. Stroitelnaya mekhanika: uchebnoye posobiye dlya studentov vuzov zheleznodorozhnogo transporta: v dvukh knigakh. – Moscow: Vyssh. shk., Kn. 2: Dinamika i ustoychivost uprugikh sistem. - 2008. - 383 p.
Bleykh F. Ustoychivost metallicheskikh konstruktsiy / M.: Fizmatgiz, 1959. — 544 p.
Shimkovich D.G. Raschet konstruktsiy v MSC/NASTRAN for Windows. M.: DMK Press, 2003, 448 p.
Zhukov K.A., Manuylov G.A. Dvustoronniye otsenki i priblizheniya k naimenshemu sobstvennomu znacheniyu ramnykh sistem metodom neosobennykh prodolzheniy. Tr. MIIT Chislennyye metody resheniya zadach stroitel'noy mekhaniki. – Moscow: MIIT. – 1990. – p. 88-99.
Smirnov A.F. Tablitsy funktsii dlya rascheta sterzhnevykh sistem na ustoychivost i kolebaniya. Moscow: MIIT. – 1961. – 93 p.
Manuylov G.A. O reshenii kharakteristicheskikh uravneniy metodom prodolzheniy s poiskom shaga. Trudy MIIT № 458 Voprosy stroitel'noy mekhaniki prostranstvennykh sistem na s transporte i v stroitelstve. Moscow. – 1974. – p. 104-115.
Zhukov K.A., Manuylov G.A. Dvustoronniye otsenki i priblizheniya k naimenshemu sobstvennomu znacheniyu ramnoy sistemy metodom neosobennykh prodolzheniy. Trudy MIIT № 827 Chislennyye metody resheniya zadach stroitelnoy mekhaniki transportnykh sooruzheniy. Moscow. – 1990. – p. 88-99.