摘要
利用广义坐标法和能量原理推导了曲线梁桥的振动控制微分方程,解释了曲线梁桥振动理论与直线梁的异同点,并推导了质量矩阵。在推导过程中考虑了截面扭转中心与截面形心的不一致,随后给出了曲线梁动力分析的有限元方法,并完成了电算程序的编制。最后通过实例分析验证了本文所提理论和计算方法的正确性。
The dynamic control equations of curved-girder bridges are derived by using the general coordinate method and energy theory. The similarities and differences are obtained between the vibrations of curved-girder bridges and straight-girder bridges. The explicit mass-matrix of the curved-girder bridges is formulated, with the nonconformity of the torsional center and the gravity center of a section being taken into account. The dynamic finite element method for curved-girder bridges is presented, and a computer code is developed. The theory and method presented in this paper are verified through a practical example analysis.
出处
《土木工程学报》
EI
CSCD
北大核心
2005年第10期61-65,87,共6页
China Civil Engineering Journal
基金
铁道部科技攻关项目(97G07)资助
关键词
曲线梁
动力特性
有限元
能量法
curved-girder
finite element method
energy theory