Topic
Flexural rigidity
About: Flexural rigidity is a research topic. Over the lifetime, 3829 publications have been published within this topic receiving 56780 citations.
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TL;DR: In this paper, a method for designing optimum sandwich structures for least weight or cost is given, and the use of the least-weight design method enables core and skin thicknesses to be determined and gives a means of improving the flexural properties of existing sandwich constructions.
80 citations
TL;DR: In this paper, the thermal buckling behavior of composite laminated plates was studied by making the use of finite element method and the results indicated that the high E1/E2 and α2/α1 ratios of AS4/3501-6 and T 300/5208 laminates produce higher bending rigidity along the fiber direction and higher in-plane compressive force in a direction perpendicular to the fibre direction.
80 citations
01 Jan 1985
79 citations
TL;DR: Several numerical methods for measuring the bending rigidity and the spontaneous curvature of fluid membranes are studied using two types of meshless membrane models and the results show good agreement with each other.
Abstract: Several numerical methods for measuring the bending rigidity and the spontaneous curvature of fluid membranes are studied using two types of meshless membrane models. The bending rigidity is estimated from the thermal undulations of planar and tubular membranes and the axial force of tubular membranes. We found a large dependence of its estimate value from the thermal undulation analysis on the upper-cutoff frequency ${q}_{\mathrm{cut}}$ of the least-squares fit. The inverse power-spectrum fit with an extrapolation to ${q}_{\mathrm{cut}}\ensuremath{\rightarrow}0$ yields the smallest estimation error among the investigated methods. The spontaneous curvature is estimated from the axial force of tubular membranes and the average curvature of bent membrane strips. The results of these methods show good agreement with each other.
79 citations
TL;DR: In this paper, the buckling instability of Euler-Bernoulli columns with arbitrarily axial nonhomogeneity and/or varying cross-section has been solved using a Fredholm integral equation.
Abstract: In this paper, we present a novel analytic approach to solve the buckling instability of Euler-Bernoulli columns with arbitrarily axial nonhomogeneity and/or varying cross section. For various columns including pinned-pinned columns, clamped columns, and cantilevered columns, the governing differential equation for buckling of columns with varying flexural rigidity is reduced to a Fredholm integral equation. Critical buckling load can be exactly determined by requiring that the resulting integral equation has a nontrivial solution. The effectiveness of the method is confirmed by comparing our results with existing closed-form solutions and numerical results. Flexural rigidity may take a majority of functions including polynomials, trigonometric and exponential functions, etc. Examples are given to illustrate the enhancement of the load-carrying capacity of tapered columns for admissible shape profiles with constant volume or weight, and the proposed method is of benefit to optimum design of columns agains...
79 citations