In this paper, we take into account the system of differential equations with boundary conditions a fixed elastic beam model (EBM). Instead finding solution EBM for particularly specified load, which is usual practice, derive general analytical using techniques integrations. The proposed solutions are not load-specific but can be used any load without having to integrate successively again and ...

Based on the standard finite element method, a new finite element method which is known as nonlocal finite element method (NL-FEM) is numerically implemented in this article to study the nonlocal effects for solving 1D nonlocal elastic problem. An Eringen-type nonlocal elastic model is considered. In this model, the constitutive stress-strain law is expressed interms of integral equation which ...

A generic analytical framework is proposed to obtain the dynamic elastic moduli of lattice materials under steady-state vibration conditions. The deformation behaviour individual beam elements a distinct from static condition. This leads completely different global pattern material and subsequently opens up tremendous opportunity modulate amplitude phase properties lattices as function ambient ...