Uniform-section parabolic arch thrust influence line analysis method based on approximate curve fitting

• Main Authors: SUN WENZHUO, KONG WEIXIAO, CHEN JIAWEI, LI MENG, SHI XIANZENG, LI NINGBO, ZHU QINGSHUAI, ZHOU YU, SHI YINGDI, WAN YANGXU, SHU QINGDONG
• Format: Patent
• Language: Chinese; English
• Published: 06.01.2023
• Subjects: CALCULATING; COMPUTING; COUNTING; ELECTRIC DIGITAL DATA PROCESSING; PHYSICS

The invention discloses a uniform-section parabolic arch thrust influence line analysis method based on approximate curve fitting, and belongs to the technical field of arch thrust influence line derivation analysis, and the method comprises the steps: S1, building a basic system of a uniform-section parabolic arch, obtaining a parabolic arch axis equation, and fitting an arc length curve through a suspension cable line, so as to obtain a uniform-section parabolic arch thrust influence line; corresponding self displacement and load displacement expressions are obtained; and S2, deriving based on the force method basic equation to obtain a thrust influence line analytical expression of the uniform-section parabolic arch. According to the method, on the basis of suspension cable line fitting, accurate differential is replaced with approximate differential, a thrust influence line analytical solution of a uniform-section parabola two-hinged arch and a hinged-free arch is obtained through derivation, and it is pr