• CN：11-2187/TH
• ISSN：0577-6686

• 核电装备先进制造技术专栏 •

### 基于等效梁长法的组合深梁临界预紧力计算模型

1. 1.燕山大学先进锻压成形技术与科学教育部重点实验室
2.天津职业技术师范大学天津市高速切削与精密加工重点实验室
• 出版日期:2015-08-05 发布日期:2015-08-05
• 基金资助:
国家自然科学基金(50975248)和国家科技重大专项(2010ZX04017-013) 资助项目

### Calculation Model of Critical Preload of Prestressed Composite Deep Beam Based on the Method of Equivalent-beam-length

DONG Xiaochuan1,2, JIN Miao1, YAO Yang1, ZHANG Jie1

1. 1.Key Laboratory of Advanced Forging & Stamping Technology and Science of Ministry of Education, Yanshan University
2.Tianjin Key Laboratory of High Speed Cutting and Precision Machining, Tianjin University of Technology and Education
• Online:2015-08-05 Published:2015-08-05

Abstract: To determine a reasonable critical preload and ensure the integration of prestressed composite deep beam, the method of equivalent-beam-length is proposed to revise the traditional theoretical results of airy stress function. Then a more accurate critical preload is obtained. Firstly, the theoretical calculation model of critical preload is established based on the plane strain theory. Secondly, based on the principle of superposition, the stress in the direction of x in the middle section of bending model and prestressed model are deduced and were presented in the way of Fourier series. The reasons for error are analyzed. Then, it is further revised with the method of equivalent-beam-length. Finally the theoretical formula of critical preload is derived combined with the critical criterion. Experimental results show that the minimum error between theoretical results of critical preload revised with the method of equivalent-beam-length and experimental results is 10.1%, while the maximum error is 13.5%. The theoretical results are in good agreement with the experimental results. It is able to provide theoretical basis for the design of prestressed composite beams in large mechanical equipments.