The solution to the destabilizing critical load of circular double articulated arch under going vertical distributive loadg 0/cos2θ
Tóm tắt
In this paper, after taking the effect of axis force on bending into consideration, the general potential energy for the circular double articulated arch is established undergoing vertical distributive load g0/cos2θ. With sufficient engineering precision, the fourth approximations to the destabilizing critical load of the arch under this load are obtained by Ritz method. The approximations to the critical load table are listed for various center angles of arch, and are contrasted with the critical load circular arch undergoing radial uniform load. Some reference results have been obtained.
Tài liệu tham khảo
Lin Tongyan. Arches are both structure and architeture [J].China Civil Engineering Journal, 1997,30(3):9–15 (in Chinese)
Liranichidy A R.Equilibrium Stability of Elastic System [M]. Moscow: National Science and Technology Press, 1955, 429–431 (in Russian)
Li Saomin.Stability Theory [M]. Beijing: People Traffic Press, 1989, 195–201
Liang Bingwen.Stability Theory of Elasticity and Plasticity [M]. Beijing: National Defence Industrial Press, 1983, 72–84 (in Chinese)
Pan Yue. The Catastrophe theory used in the calculation of critical load of ring [J].China Mechanics and Practice, 1991,13(5):26–29 (in Chinese)
Pan Yue. Cusp catastrophe model for “Close Burse” of Tunnel [J].China Rock and Soil Mechanics, 1994,15(1):34–41
Mathematics Handbook compile group.Mathematics Hanbook [M]. Beijing: People Education Press, 1979, 227–231 (in Chinese)
He Xucheng, Su Yucheng.Calculating Mathematics Lecture with Simple and Clear [M]. Beijing: Higher Education Press 1988, 116–118 (in Chinese)
Tang Jiaxing, Wang Shitong.Structural Stability Theory [M]. Beijing: Chinese Railway Press, 1989, 100–105 (in Chinese)
Xia Zhibing, Pan Youchang.Structural Stability Theory [M]. Shanghai: Higher Education Press, 1988, 81–83 (in Chinese)
Wu Mingde.Stability Theory of Elastic Bar [M]. Beijing: Higher Education Press, 1988, 155–160 (in Chinese)