Frequency-equivalent beam structure local equivalent stiffness calculation method

• Main Authors: LIU RONGKAI, ZHOU JINRUI, WU ZHENZHEN, TANG SHENGHUA, QIN FUQIAN, KANG DINGDING, CAI DONGHENG, FANG JIEWEI
• Format: Patent
• Language: Chinese; English
• Published: 04.04.2023
• Subjects: CALCULATING; COMPUTING; COUNTING; ELECTRIC DIGITAL DATA PROCESSING; MEASURING; PHYSICS; TESTING; TESTING STATIC OR DYNAMIC BALANCE OF MACHINES ORSTRUCTURES; TESTING STRUCTURES OR APPARATUS NOT OTHERWISE PROVIDED FOR

The invention discloses a frequency-equivalent beam structure local equivalent stiffness calculation method, which comprises the following steps of: setting a proper local damage beam section length epsilon according to a damage area length d of a beam structure; calculating an equivalent stiffness coefficient ceq; calculating the equivalent stiffness of the local damaged beam section, wherein the equivalent stiffness is equal to ceq * the bending stiffness of the section of the non-damaged beam; the ceq can be calculated according to an approximation method for local damaged beam sections except for a zero point of a vibration mode curvature curve; for each position of the beam structure, the ceq can be calculated by adopting a strain energy method according to a simply supported beam, a cantilever beam and a statically indeterminate beam according to a vibration mode curvature curve when the beam structure is not damaged; according to the equal-section single-span beam, a theoretical vibration mode curvatur