Mechanics of Microelectromechanical Systems - N Lobontiu and E Garcia Part 14 pdf

... more generic case where the area is variable, to: where it has been taken into account that the elementary volume can be expressed in terms of the cross-sectional area A and the elementary length ... stiffnesses or compliances, namely: two direct (linear and rotary) and one crossed, define the elastic response at the free end of a cantilever. More details on the spring characterizat...

Ngày tải lên: 10/08/2014, 05:20

... indeterminate, the reactions and need to be first determined, by using the corresponding boundary conditions: which can be expressed as: The bending moment is: The unknown reactions are: The horizontal ... microbridges 67 in the oscillating mode – when the modal frequencies are actually monitored and determined. They can operate in a contact mode or in a non-contact mode (when a pre-desig...

Ngày tải lên: 10/08/2014, 05:20

... set of experimental measurements, for instance the deflection at a point placed at a distance from the free end, is needed. In this case, the deflection at the experimental point of detection is: Equations ... microcantilever to the performance of a right elliptically-filleted one when and is the friction force between the microcantilever tip and the investigated three- dimensional...

Ngày tải lên: 10/08/2014, 05:20

... end deflection and slope can be found and expressed in the known manner: The equations of the three global compliances entering Eqs. (2.166) are quite complex and are not given explicitly here. ... determined with respect to the free end. Example 2.18 Find the bending-related compliances connected to the midpoint of a microcantilever of length l and of constant cross-section i...

Ngày tải lên: 10/08/2014, 05:20

... the springs. A serpentine spring is formed of one or several series-connected units, as the one shown in Fig. 3.24, where also indicated are the defining geometric parameters of the unit. When ... (the stiffness defining the elastic properties of the U-spring when the body translates about a direction perpendicular to the main one and is contained in the plane of the microdevice) a...

Ngày tải lên: 10/08/2014, 05:20

... Conditions, Determinate/Indeterminate Systems Figure 1 .14 shows the most frequently encountered boundary conditions in one-dimensional members. In a given member under load, each boundary condition ... and therefore a symmetry center) and that bending moments and shearing forces act about these axes. Similarly, the complementary energy can be expressed in terms of loading, and i...

Ngày tải lên: 27/06/2014, 18:20

... contribute to a more solid understanding of the principles governing the mechanics of MEMS, and would hopefully enhance the efficiency of modeling and designing reliable and desirably-optimized ... Conditions, Determinate/Indeterminate Systems Figure 1 .14 shows the most frequently encountered boundary conditions in one-dimensional members. In a given member under load, each...

Ngày tải lên: 13/02/2014, 08:20

... phenomena have found a wide field of application in all branches of the physical science and engineering, and more recently in a number of interdisciplinary fields, including environmental research ... imipramine hydrochloride (IMP). The mixed micelles of IMP and non-ionic surfactant polyethylene glycol t-octylphenyl ether (TX-100) has been investigated using surface tension...

Ngày tải lên: 19/06/2014, 12:20

... same method, Barry and Harrington has focused on the theory of relaxation phenomena in an Ising antiferromagnet and obtained the temperature and frequency dependencies of the magnetic dispersion ... in the arrangement. Alternatively, there has to be enough difference between thermal energy and the interaction potential energy to maintain order within the pattern. Fig. 1. P...

Ngày tải lên: 19/06/2014, 12:20

... can be seen that resonance frequency shifts to the higher frequency region according to the increase of the contact load. Admittance phase changes dramatically around the resonance and meets ... M, the so-called the modulation index may be assumed to have any value between 0 and  4 . It can be shown that N  is dependent on modulation index and the rest of N- 1 switching a...

Ngày tải lên: 21/06/2014, 11:20