Post-Buckling Solutions for the Gao Beam

نویسندگان

چکیده

Summary This article analyses static buckling of the so-called Gao beam nonlinear model. It considers pure problems in which vertical loads are omitted. The analysis, using minimisation energy and concept a modified Rayleigh quotient, leads to new results regarding critical load necessary for buckling, existence number post-buckling solutions. Computational provided cases with fixed axial loading. Furthermore, authors explore impact system parameters on solutions, summarised table. findings this research unique help better understand behaviour dynamic beam.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Post-buckling Solutions of Hyper-elastic Beam by Canonical Dual Finite Element Method

Post buckling problem of a large deformed beam is analyzed using canonical dual finite element method (CD-FEM). The feature of this method is to choose correctly the canonical dual stress so that the original non-convex potential energy functional is reformulated in a mixed complementary energy form with both displacement and stress fields, and a pure complementary energy is explicitly formulat...

متن کامل

Post-buckling analysis for the precisely controlled buckling of thin film encapsulated by elastomeric substrates

The precisely controlled buckling of stiff thin films (e.g., Si or GaAs nano ribbons) on the patterned surface of elastomeric substrate (e.g., poly(dimethylsiloxane) (PDMS)) with periodic inactivated and activated regions was designed by Sun et al. [Sun, Y., Choi, W.M., Jiang, H., Huang, Y.Y., Rogers, J.A., 2006. Controlled buckling of semiconductor nanoribbons for stretchable electronics. Natu...

متن کامل

Post-buckling behaviour of a slender beam in a circular tube, under axial load

This paper deals with the study of the behaviour of a slender beam introduced in a cylindrical tube and subjected to an axial compressive force. The beam is very long compared to its transversal dimensions and therefore it will buckle to a very small axial force. The post-buckling behaviour is examined. The study has important applications in the petroleum industry, for coiled tubing in the cas...

متن کامل

Finite deformation beam models and triality theory in dynamical post-buckling analysis1

Two new "nitely deformed dynamical beam models are established for serious study on non-linear vibrations of thick beams subjected to arbitrarily given external loads. The total potentials of these beam models are non-convex with double-well structures, which can be used in post-buckling analysis and frictional contact problems. Dual extremum principles in unstable dynamic systems are developed...

متن کامل

Finite Elements for Post - Buckling Analysis . I - the W - Formulation

This paper presents a convenient fonnulation for the stability analysis of structures using the finite element method. The main assumptions are linear elasticity, a linear fundamental path, and the existence of distinct critical loads (i.e. no coupling between buckling modes occurs). The fonnulation developed is known as W-formulation, in which the energy is written in terms of a sliding set of...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Quarterly Journal of Mechanics and Applied Mathematics

سال: 2023

ISSN: ['1464-3855', '0033-5614']

DOI: https://doi.org/10.1093/qjmam/hbad007