A study on the dynamics of a periodic bending-shear-torsion coupled composite beam metamaterial

Author(s):  
Danilo Barros de Araújo Silva ◽  
Paulo Gonçalves
Keyword(s):  
2020 ◽  
Vol 86 (2) ◽  
pp. 44-53
Author(s):  
Yu. I. Dudarkov ◽  
M. V. Limonin

An engineering approach to estimation of the transverse shear stresses in layered composites is developed. The technique is based on the well-known D. I. Zhuravsky equation for shear stresses in an isotropic beam upon transverse bending. In general, application of this equation to a composite beam is incorrect due to the heterogeneity of the composite structure. According to the proposed method, at the first stage of its implementation, a transition to the equivalent model of a homogeneous beam is made, for which the Zhuravsky formula is valid. The transition is carried out by changing the shape of the cross section of the beam, provided that the bending stiffness and generalized elastic modulus remain the same. The calculated shear stresses in the equivalent beam are then converted to the stress values in the original composite beam from the equilibrium condition. The main equations and definitions of the method as well as the analytical equation for estimation of the transverse shear stress in a composite beam are presented. The method is verified by comparing the analytical solution and the results of the numerical solution of the problem by finite element method (FEM). It is shown that laminate stacking sequence has a significant impact both on the character and on the value of the transverse shear stress distribution. The limits of the applicability of the developed technique attributed to the conditions of the validity of the hypothesis of straight normal are considered. It is noted that under this hypothesis the shear stresses do not depend on the layer shear modulus, which explains the absence of this parameter in the obtained equation. The classical theory of laminate composites is based on the similar assumptions, which gives ground to use this equation for an approximate estimation of the transverse shear stresses in in a layered composite package.


2021 ◽  
Vol 204 ◽  
pp. 130-146
Author(s):  
Zhong Tang ◽  
Ben Zhang ◽  
Meilin Wang ◽  
Haotian Zhang

2005 ◽  
Vol 32 (2) ◽  
pp. 314-328 ◽  
Author(s):  
Young K Ju ◽  
Do-Hyun Kim ◽  
Sang-Dae Kim

The number of high-rise buildings has greatly increased in Korea, and storey height is a significant component of tall residential buildings due to the limited city area. To reduce storey height, the wide beam has been adopted in some projects in Seoul such as Trump World, Galleria Palace, and Richencia. The joints between the wide beam and the core wall were too narrow to place the reinforcement, however. This paper investigates a newly developed structural system called the innovative, technical, economical, and convenient hybrid system (iTECH system). The iTECH system has an asymmetric steel assembly with web openings, where the top plate is welded on top of inverted structural "tees" whose cut is referred to as a "honeycomb" type. Both sides of the web and the slab are filled with cast-in-place concrete. The shear capacity was experimentally evaluated and verified, with parameters determined by factors that shared the shear strength of the iTECH beam. The steel web, inner concrete panel, and outer concrete panel contributed to the shear strength of the iTECH beam. The shear stirrup did not contribute much to the shear strength, however, and therefore a design equation using the steel web and inner concrete panel was suggested.Key words: composite beam, shear capacity, monotonic test, high-rise building.


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