Bending stiffness - Wikipedia
The bending stiffness is the resistance of a member against bending deflection/deformation. It is a function of the Young's modulus E {\displaystyle E} , the second moment of area I {\displaystyle I} of the beam cross-section about the axis of interest, length …
Revisiting bending theories of elastic gradient beams
2018年5月1日 · Namely, we show that apparent bending stiffness of the gradient beam under pure bending has classical value and it does not depend on its thickness. Additionally we realize a finite element (FE) simulation to verify our analytical …
Structural analysis of gradient elastic components
2007年5月15日 · The bending stiffness of the gradient beam as characterized by the deflection and strain metrics has been found to increase with increasing values of the non-dimensional parameter g/L (microstructural length over beam length) as compared to …
Penetration mechanics of a beetle intromittent organ with bending ...
2017年12月20日 · We demonstrated the bending stiffness gradient, in which the basal half is relatively stiff and the apical half is softer, whose good performance during copulation had been previously numerically demonstrated. The stiffness gradient is the result of the flagellum shape, which is cylindrical and tapered toward the tip.
On simplified deformation gradient theory of modified gradient …
2023年7月1日 · The analytical and numerical bending solutions to gradient Navier-type and Levy-type thin plates with various boundary conditions, including simply supported, clamped and free boundaries are presented, and the size-dependent bending stiffness that is jointly determined by geometric dimensions and length-scale parameters is defined to describe ...
Our study of the deflections of a shaft in torsion produced a relationship between the applied torque and the angular rotation of one end of the shaft about its longitudinal axis relative to the other end of the shaft. This had the form of a stiffness equation for a linear spring, or truss member loaded in tension, i.e.,
Applicability ranges for four approaches to determination of bending ...
2021年3月28日 · For calculation of the bending stiffness we introduce two dimensionless parameters: a small thickness parameter equal to the ratio of the thickness to the deformation wavelength in the tangential directions, and a large inhomogeneity parameter equal to the ratio of the maximum and minimum Young’s moduli of the layers.
A simplified deformation gradient theory and its experimental ...
2023年3月28日 · The analytical solution to nonlocal torsion based on the SDG shows that both strain gradient and rotation gradient have effects on the torsion stiffness of cylinders, and the rotation gradient has a greater effect than strain gradient.
On Strain Gradient Theory and Its Application in Bending of …
2022年9月5日 · The purpose of this work is to establish a correct beam model and analyze the contribution of the strain gradient components to bending stiffness. This paper is organized as follows: Mindlin’s general strain gradient elasticity theory is re-formulated by introducing a new set of strain gradient components so as to investigate the effects of ...
On the Paradox of Anomalous Relative Bending Stiffness of …
2020年10月8日 · We demonstrated that for the gradient model of beam bending, there is no effect of the dependence of the effective bending stiffness on the beam thickness. Nevertheless, the results of experiments presented in works on micro rods [8–12] show that the scale-dependent effect occurs for bending stiffness. Let us try to explain this effect by the ...