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 loadi...

Results of molecular-mechanics simulations of axial and torsional deformations of a single wall carbon nanotube are used to find Young’s modulus, the shear modulus, and the wall thickness of an equivalent continuum tube made of a linear elastic isotropic material. These values are used to compare the response of the continuum tube in bending and buckling with that obtained from the molecular me...

The continuum mechanics of multilayered plates under initial stress is developed to include the case where some or all of the layers are constituted by thinly laminated materials with couple stresses. It is applicable to problems of buckling, dynamics and vibrations. This includes the evolution of viscoelastic creep buckling and vibration absorption. Results are obtained in two forms. One is de...

iii Abstract The goal of this research is to provide a framework for vibro-acoustical analysis and design of a multiple-layer constrained damping structure. The existing research on damping and viscoelastic damping mechanism is limited to the following four mainstream approaches: modeling techniques of damping treatments/materials; control through the electrical-mechanical effect using the piez...

This paper explores the utility of a discrete singular convolution (DSC) algorithm for beam analysis. Regularized Shannon and Dirichlet kernels are selected to illustrate the present algorithm. Three classes of benchmark beam problems, including bending, vibration and buckling, are utilized to test numerical accuracy and speed of convergence of the present approach. Numerical experiments indica...

An analytical study along with a numerical investigation is conducted to determine the lateral buckling strength of thin-walled open-section I shape composite beams. Based on Vlasov-type linear hypothesis beam stiffness coefficients, which account for a cross section geometry and material anisotropy of the section, are obtained. In this study the axial and bending coupling terms ( A,, , A,, , D...

This paper presents the application of micro/macromechanics models and optimization techniques for the optimum design of pultruded glass fiberreinforced plastic composite I-beams with respect to material architecture: fiber orientations and fiber percentages. The beams are subjected to transverse loading, and beam deflection, buckling resistance and material failure are considered as multiple o...

The theory of stability of multilayered continua is extended to include the effect of gravity and the case of viscoelastic materials. It is also applied to obtain numerical solutions for the buckling of the anisotropic plate in finite elasticity with free boundaries or embedded in an infinite medium. In the multilayered system it is shown that the effect of gravity forces may be included by a v...

New experimental results show that laser bending can be extended to generate a bending angle not only towards but also away from the laser beam, giving more flexibility to the process. In order to explain this buckling instability, a series of experiments have been carried out with real-time measurement of the bending angle for different materials, thicknesses, scanning speeds, laser beam diame...

In recent years, significant research efforts have been dedicated to developing self-powered wireless sensors without the limit of battery lifetime, such that those sensors can be deployed to continuously monitor structural conditions and detect potential failures for Structural Health Monitoring (SHM). In order to overcome the energy bound, a mechanism has recently been developed to harvest el...