In this paper, a size-dependent formulation for the Bernoulli-Euler beam is developed based on a new model of couple stress theory presented by Hadjesfandiari and Dargush. The constitutive equation obtained in this new model, consists of only one length scale parameter that is capable of capturing the micro-structural size effect in predicting the mechanical behavior of the structure. Having on...

Printed circuit boards having unfavorable deflection have been considered for a better mechanical design. During reflow process, pcb has experienced a range of the temperature between ambient temperature and peak temperature in furnace. Out of plane deflection is generated due to the property mismatch of material composition. Combination degree of board and copper plating will be researched for...

Based on the bending deformation theory of cantilever beam, mathematical model single valve slice under uniform load is proposed and deduced by using microbeam element method (MEM). The accuracy reliability established MEM small deflection (SDM) are verified through finite simulation comparison. results show that suitable not only for (SDD) but also large (LDD) slice, can reflect dynamic charac...

To increase understanding of damage evolution in advanced composite material systems, a series of large deflection bending-compression experiments and model predictions have been performed for a woven glass-epoxy composite material system. Theoretical developments employing both small and large deformation models and computational studies are performed. Results (a) show that the Euler–Bernoulli...

The growing interest in wood accessories has focused scientific research attention on cutting with small diameter tools. A problem that may arise when drilling is the phenomenon of wandering – hole not made designed place. difficulty studying drill holes (0.5 mm to 0.9 mm) due automatic measurement. development an appropriate methodology allow for observation this without need high-class hardwa...

A first-order perturbation theory exists for the flyby problem with the Born approximation as the reference orbit (J. D. Anderson and G. Giampieri 1999, Icarus 138, 309–318, AG thereafter). This theory is applicable when the deflection parameter μ/bv2 (where μ is the product of the gravitational constant by the body’s mass, b the impact parameter, and v the velocity of the flyby) is small. Here...

In TeV scale unification models, gravity propagates in 4+δ dimensions while gauge and matter fields are confined to a four dimensional brane, with gravity becoming strong at the TeV scale. For a such scenario, we study strong gravitational interactions in a effective Schwarzschild geometry. Two distinct regimes appear. For large impact parameters, the ratio ρ ∼ (Rs/r0) , (with Rs the Schwarzsch...

The effect of currents of mass on bending of light rays is considered in the weak field regime. Following Fermat’s principle and the standard theory of gravitational lensing, we derive the gravito-magnetic correction to time delay function and deflection angle caused by a geometrically-thin lens. The cases of both rotating and shifting deflectors are discussed.

Recent results concerning the application of Lie transformation group methods to structural mechanics are presented. Focus is placed on the point Lie symmetries and conservation laws inherent to the Bernoulli–Euler and Timoshenko beam theories as well as to the Marguerrevon Kármán equations describing the large deflection of thin elastic shallow shells within the framework of the nonlinear Donn...