基于最小势能原理的体外预应力张拉分析

ANALYSIS OF EXTERNALLY PRESTRESSED TENDON DURING THE TENSION PHASE BASED ON THE PRINCIPLE OF MINIMUM POTENTIAL ENERGY

体外预应力结构因其建设简便和经济效益高,近几年来被广泛采用。以往许多学者在体外预应力梁正常使用状态和极限承载能力状态做了很多研究,而忽视了张拉阶段分析。本文对体外预应力结构张拉过程中各部件受力情况进行了详细分析,基于最小势能原理推导出了张拉力与梁的反拱挠度之间的关系式。为了使公式得到验证,建立了有限单元分析模型,结果表明解析解与数值解吻合较好。

Externally prestressed structure is widely used in recent years for its simple construction and high economic benefit. Research efforts reported in the technical literature are limited to analyze extenally prestressed tendon during the tension phase. In this paper,detailed analysis of each part of beam with external prestressed tendons in the process of tension is given. Relationship between tension force and inverted arch the of deflection is illustrated based on principle of minimum potential energy. In order to verify the formulas,a finite element model is proposed,the results show that the analytical solution coincide quite well with numerical values.