Closed-form Solution For Buckling Research Articles

Thermomechanical buckling of hybrid cross-ply laminated rectangular plates

A thermomechanical buckling analysis is presented for simply supported rectangular symmetric cross-ply laminated composite plates that are integrated with surface-mounted piezoelectric actuators and are subjected to the combined action of in-plane compressive edge loads, two types of thermal loads, and constant applied actuator voltage. The formulation of equations is based on the classical laminated plate theory and the von-Karman non-linear kinematic relations. The analysis uses an exact method to obtain closed-form solutions for the buckling load. The effects of applied actuator voltage, thermal and mechanical loads, plate geometry, and lay-up configuration of the laminated plates are investigated. The novelty of the present work is to obtain closed-form solutions for electro-thermomechanical buckling of hybrid composite plates, and to cover non-uniform temperature distribution loading. The results for various states are verified with known data in the literature.

A novel formulation leading to closed-form solutions for buckling of circular plates

In this paper we study axisymmetric buckling of radially graded circular plates. The flexural rigidity is considered to be a suitably varying function of the radial coordinate. The problem is posed as a semi-inverse one. The buckling mode is selected first, then the variation of the flexural rigidity consistent with the buckling mode is determined. Apparently for the first time in the literature, closed-form solutions are found. Such solutions allow the design of a circular plate whose buckling load is at least the pre-specified one. Such a design appears to find much applications in various fields of engineering.

Solution of Semi-Inverse Buckling Problems Yields a Flexural Rigidity as a Rational Function

Novel closed-form solutions for buckling of inhomogeneous columns are reported in this study, utilizing the integral formulation of the problem. Whereas previous closed-form solutions were confined solely to polynomial mode shapes, here the rational functions are postulated as candidate mode shapes. Inhomogeneous column's flexural rigidities are derived as to have the column with specified buckling modes.

A novel method for determining effective length factors for solid round steel leg members of guyed lattice towers with cross-bracing

A novel method is presented for determining the effective length factors (K factors) for solid round steel leg (vertical) members in all-welded guyed communication towers with cross-bracing. Deflections due to an arbitrary load were used to determine the restraining moments and rotational stiffness of the legs. Using the closed-form solution for buckling of a column with rotational restraint at both ends, K factors were computed. From the study it is found that the K factors varied from 0.61 to 1.00, depending on the relative sizes of the leg and bracing members. An expression for estimating the effective length factors for solid round steel leg members of all-welded guyed lattice towers with cross-bracing is developed.Key words: cross-bracing, effective length factor (K factor), finite element analysis, guyed lattice tower, solid round steel leg member, welded tower.