Size-dependent dynamic responses of small-size frames are modelled by stress-driven nonlocal elasticity and assessed a consistent finite-element methodology. Starting from uncoupled axial bending differential equations, the exact stiffness matrix two-node beam element is evaluated in closed form. The relevant global an arbitrarily-shaped frame, where every member made single element, built stan...

This paper explores a single-item capacitated lot sizing problem with minimum order quantity, which plays the role of minor set-up cost. We work out the necessary and sufficient solvability conditions and apply the general dynamic programming technique to develop an O(T ) exact algorithm that is based on the concept of minimal sub-problems. An investigation of the properties of the optimal solu...

This paper deals with the study of joint clearance on kinematics of mechanism and bearing stiffness along with links flexibility on modal analysis at higher frequency. Literature survey reveals that the studies were carried out for highspeed mechanism considering linkage flexibility without considering bearing stiffness. The method of calculating clearance at joints, checking for orientation of...

In this study, a dynamic stiffness method for free vibration analysis of moderately thick function-ally graded material plates is developed. The elasticity modulus and mass density of the plate are assumed to vary according to a power-law distribution in terms of the volume fractions of the constituents whereas Poisson’s ratio is constant. Due to the variation of the elastic properties through ...

  In this article, vibration analysis of an Euler-Bernoulli beam resting on a Pasternak-type foundation is studied. The governing equation is solved by using a spectral finite element model (SFEM). The solution involves calculating wave and time responses of the beam. The Fast Fourier Transform function is used for temporal discretization of the governing partial differential equation into a se...

This paper analyzes the effect of large wave numbers on the wavelet method for integral equations arising in electromagnetic applications. It is shown that the compression of the stiffness matrix deteriorates with increasing wave number, a characteristic that has been reported before in the literature. Here, however, the exact dependence on the wave number is calculated analytically for the two...

Some practical issues related to application of the dynamic stiffness matrix (DSM) based damping identification method to real life mechanical systems are studied in this paper. The DSM based direct damping matrix identification method was proposed to identify both the mechanism and spatial distribution of damping as a matrix of general function of frequency. The method obtains the damping matr...

in this article the general non-symmetric parametric form of the incremental secant stiffness matrix for nonlinear analysis of solids have been investigated to present a semi analytical sensitivity analysis approach for geometric nonlinear shape optimization. to approach this aim the analytical formulas of secant stiffness matrix are presented. the models were validated and used to perform inve...

In this paper, free longitudinal vibration of nanorods is investigated from the wave viewpoint. The Eringen’s nonlocal elasticity theory is used for nanorods modelling. Wave propagation in a medium has a similar formulation as vibrations and thus,  it can be used to describe the vibration behavior. Boundaries reflect the propagating waves after incident. Firstly, the governing quation of nanoro...