CAJ | 학술논문

为研究多跨体外预应力连续梁动力特性解析表达，基于 Bernoulli -Euler 梁理论建立任意预应力筋布置形式的连续梁分析模型。在 Ayaho Miyamoto 研究基础上，建立预应力变化量与位移函数关系，将连续梁视为满足弯矩、转角条件的多个单跨梁，采用分段联立方法建立多跨体外预应力连续梁振动方程组，获得频率方程解析解。以两、三跨体外预应力连续梁为例，通过求解频率方程获得自振频率，与有限元及试验比较表明结果吻合较好。用该方法可较准确求得多跨体外预应力连续梁自振频率、振型等动力参数。
위연구다과체외예응력련속량동력특성해석표체，기우 Bernoulli -Euler 량이론건립임의예응력근포치형식적련속량분석모형。재 Ayaho Miyamoto 연구기출상，건립예응력변화량여위이함수관계，장련속량시위만족만구、전각조건적다개단과량，채용분단련립방법건립다과체외예응력련속량진동방정조，획득빈솔방정해석해。이량、삼과체외예응력련속량위례，통과구해빈솔방정획득자진빈솔，여유한원급시험비교표명결과문합교호。용해방법가교준학구득다과체외예응력련속량자진빈솔、진형등동력삼수。
In order to study the analytic expression of dynamic characteristics of a continuous beam with external tendons,an analysis model of the beam with any form of prestressed tendon layout was established by using the Bernoulli-Euler beam theory.Based on the formula presented by Ayaho Miyamoto,the relationship between prestressing force and displacement was derived and the continuous beam was treated as multiple single beams satisfing the moment and angle conditions.The vibration equation of the beam was built by using piecewise simultaneous method and the frequency equation was achieved.Taking two-span and three-span continuous beams with external tendons as examples,the frequency equation was solved and natural frequencies were obtained.Comparing the results by the formulas with those of FEA and existing tests,it is found they are in good agreement.The method can get the dynamic parameters of continuous beam with external tendons accurately.