Mechanics of Microelectromechanical Systems - N Lobontiu and E Garcia Part 13 pptx

... 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

... 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 in the case of ... for the 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...

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 ... relevant components that are applied between one end point of the member (the free end of Fig. 1.12 is a convenient choice because it does not introduce any reactions, which are u...

Ngày tải lên: 13/02/2014, 08:20

... depends upon the integrated interactions of a set of interdependent biochemical processes. An abbreviated and simplified illustration of nine of these key interactive processes is given in ... photosynthetic light-response curves were also measured on fully mature, upper- canopy leaves ( 2-3 weeks in age) where we expected to find no genotype differences in light-dependent accl...

Ngày tải lên: 19/06/2014, 12:20

... The Thermodynamics of Defect Formation in Self-Assembled Systems 295 representation of the minimum free energy configuration in the presence of a solvent. E. g. in the assembly of nanoparticles, ... favourable chemical interactions) then random grain orientations can be avoided and the requirement for defect annihilation during grain coarsening via very long period anneal...

Ngày tải lên: 19/06/2014, 12:20

... to receive the next reference, in this point the trajectory planner imposes a cero jerk and acceleration at the end of each trajectory. In order to design the trajectory planner it has to be ... error converges to zero if ideal conditions are considered; otherwise it can be probed that the error will be bounded under the influence of the estimation errors and non modelled dynamics....

Ngày tải lên: 21/06/2014, 11:20