Vol. 16, No. 5, 2021

Download this article
Download this article For screen
For printing
Recent Issues

Volume 17, 1 issue

Volume 16, 5 issues

Volume 15, 5 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 8 issues

Volume 7, 10 issues

Volume 6, 9 issues

Volume 5, 6 issues

Volume 4, 10 issues

Volume 3, 10 issues

Volume 2, 10 issues

Volume 1, 8 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
 
ISSN: 1559-3959
Author Index
To Appear
 
Other MSP Journals
A continuous stiffness approach for modeling edge-cracked beams with different cross-sections based on energy theory

Xingkun Zhou, Jinghao Chen, Wenhua Li and Yuqing Sun

Vol. 16 (2021), No. 5, 625–643
Abstract

The distribution of flexibility and bending stiffness of beams is altered by the crack size and location, the shape of beam cross-section, and the beam length. However, up to now, most of the studies are mainly on the solid rectangular section beams, rarely on the beams with variable cross-sections. A novel continuous stiffness methodology for four classical cross-section beams is proposed based on fracture mechanics and energy theory to estimate the effects of edge-crack depth and location and the shape of cross-section on the distribution of bending stiffness. First, the continuous bending stiffness of beams with shallow and deep cracks is derived and solved using the Newton–Raphson technique. The extent and degree of influence of crack depth, crack location, beam’s length, and beam’s cross-section on the distribution of bending stiffness are studied. Second, the correctness of the proposed continuous stiffness method is verified using the experimental and theoretical data and the results of the solid rectangular section beams in the literature. Finally, the natural frequency ratios of the beams with different cross-sections, crack depths, crack positions, and beam lengths are studied in detail using the precious integration method (PIM), ANSYS element modeling (AEM) method, ANSYS solid modeling (ASM) method, and Rotational Spring Modeling (RSM), respectively. The availability and reliability of the proposed approach are verified further. The study of the proposed continuous stiffness method may provide some valuable references for modeling cracks of the different cross-section beams.

Keywords
continuous stiffness, edge crack, distribution function, natural frequency ratio, different cross section
Milestones
Received: 27 August 2020
Revised: 21 May 2021
Accepted: 11 August 2021
Published: 7 August 2022
Authors
Xingkun Zhou
Department of Marine Engineering and National Center for International Research of Subsea Engineering Technology and Equipment
Dalian Maritime University
Dalian, 116026
China
Jinghao Chen
Beijing Key Laboratory of Pipeline Critical Technology and Equipment for Deepwater Oil and Gas Development
Beijing Institute of Petrochemical Technology
Beijing, 102617
China
Wenhua Li
Department of Marine Engineering and National Center for International Research of Subsea Engineering Technology and Equipment
Dalian Maritime University
Dalian, 116026
China
Yuqing Sun
Department of Marine Engineering and National Center for International Research of Subsea Engineering Technology and Equipment
Dalian Maritime University
Dalian, 116026
China