The importance of estimating discretization error has been sadly neglected in the computational solid mechanics community. Quite the opposite is true in the computational fluid dynamics community where discretization error estimation is required to publish numerical results in many CFD journals, including the ASME Fluids Engineering Journal. It is suggested that if more solid mechanics types wo...

The static pull-in instability of beam-type microelectromechanical systems (MEMS) is theoretically investigated. Two engineering cases including cantilever and double cantilever microbeam are considered. Considering the midplane stretching as the source of the nonlinearity in the beam behavior, a nonlinear size-dependent Euler-Bernoulli beam model is used based on a modified couple stress theor...

In this paper, we numerically examine the stability of a standing cantilever conveying fluid in a multiparameter space. Based on nonlinear beam theory, our mathematical model turns out to be replete with exciting behavior, some of which was totally unexpected and novel, and some of which confirm our intuition as well as the work of others. The numerical bifurcation results obtained from applyin...

A relationship based on the modified couple stress theory is developed to investigate the flexural sensitivity of an atomic force microscope (AFM) with assembled cantilever probe (ACP). This ACP comprises a horizontal cantilever, two vertical extensions and two tips located at the free ends of the extensions which form a caliper. An approximate solution to the flexural vibration problem is obta...

A relationship based on the modified couple stress theory is developed to investigate the flexural sensitivity of an atomic force microscope (AFM) with assembled cantilever probe (ACP). This ACP comprises a horizontal cantilever, two vertical extensions and two tips located at the free ends of the extensions which form a caliper. An approximate solution to the flexural vibration problem is obta...

In the present work the pull-in voltage of a micro cracked cantilever beam subjected to nonlinear electrostatic pressure was studied. Two mathematical models were employed for modeling the problem: a lumped mass model and a classical beam model. The effect of crack in the lumped mass model is the reduction of the effective stiffness of the beam and in the beam model; the crack is modeled as a m...

In this study, Analytical work is carried out for static shape control of cantilever beam structure with a use of laminated piezoelectric actuator (LPA). The mathematical modeling of beam element covered with LPA based on Timoshenko beam element theory and linear theory of piezoelectricity has been used. This work shows how number of actuators, actuator size, actuator location on beam and contr...

AbstractWith the application of wireless sensor networks become widespread, supply energy for these wireless sensors proves to be a significant issue. Moreover, for the ambient vibration lies everywhere, the vibration can supply energy for the wireless sensor via energy harvester. The piezoelectric energy harvester becomes the research focus for the simple structure and higher energy conversion...

An Hoo controller design scheme based on the matrix fraction stability condition is proposed for the vibration control of a flexible manipulator, which has the matrix fraction uncertainty. The proposed controller is then applied to the cantilever beam with a piezoelectric-type servo-damper so that the vibration at the free end of the beam is effectively suppressed, while its effective length sl...

i ntroduction: the purpose of this in vitro study was to compare the canal transportation and centering ability of twisted file (tf) to that of reciproc system. methods and materials: forty noncalcified roots with mature apices, minimum length of 19 mm and an apical curvature of 15-30 degrees (according to schneider’s method), from freshly extracted mandibular and maxillary teeth, were selected...