In this paper, Eringen’s nonlocal elasticity and Timoshenko beam theories are implemented to analyze the bending vibration for non-uniform nano-beams.  The governing equations and the boundary conditions are derived using Hamilton’s principle. A Generalized Differential Quadrature Method (GDQM) is utilized for solving the governing equations of non-uniform Timoshenko nano-beam for pinned-pinned...

Traditional truss design and analysis assumes pinned joints at the connections. Other design provisions recommend that the trusses be designed and analyzed as frame structures, with careful consideration of the stress, timber behavior, and joint response. A large body of knowledge has been compiled detailing truss behavior as it relates to member properties and responses. However, the modeling ...

In recent years the joints mechanically bolted and glued has drawn the attention of the scientific community, the growth of its applications in various sectors of engineering. An advantageous feature of mechanical joints is the low sensitivity to surface preparation, service temperature or humidity. In addition to allowing the removal of a greater number of times without damaging the structure....

in this paper, eringen’s nonlocal elasticity and timoshenko beam theories are implemented to analyze the bending vibration for non-uniform nano-beams.  the governing equations and the boundary conditions are derived using hamilton’s principle. a generalized differential quadrature method (gdqm) is utilized for solving the governing equations of non-uniform timoshenko nano-beam for pinned-pinned...

Buckled beams have become key building blocks in compliant mechanisms to achieve nonlinear behaviors, such as bistability, constant-force and stiffness tuning. However, designing modeling components is challenging due their highly characteristics existing models typically lack accuracy or rely on numerical computations. This paper aims at giving closed-form formulas efficiently characterize the...

We consider a Josephson junction system installed with a finite length inhomogeneity, either of microresistor or of microresonator type. The system can be modelled by a sine-Gordon equation with a piecewise-constant function to represent the varying Josephson tunneling critical current. The existence of pinned fluxons depends on the length of the inhomogeneity, the variation in the Josephson tu...