The analytical and numerical results comprising vertical displacement for six veneer compositions of the straight cantilever beam
and for three veneer compositions of the curved cantilever beam
are given in Tab.
The boundary conditions are those of a cantilever beam
or subject to balance of the moment and shear at the free end x = L .
where [H.sub.z] is the cantilever beam
thickness, [k.sub.i] is the coefficient of bulk increase, 1.33, [h.sub.m] is the mining thickness, and [h.sub.i] is the strata layer thickness.
The weights are changing from 3 to 33 g, which means the static stress acting on the cantilever beam
changes from 0.029 to 0.323 N.
For the prototypes, novel device architecture is utilized in which an airfoil is mounted at the free end of the cantilever beam
and is used to also extract the wind energy.
Here, [D.sub.1] is the bending moduli per unit width, [m.sub.e] = 0.236 mW, L is the effective mass of the cantilever beam
at tip, [v.sub.n] is the nth mode eigenvalue ([v.sup.2.sub.n] = [square root of 0.236/3]), [DELTA]m is the mass of the point proof mass added to the free end tip, L is the total length of the cantilever beam
, W is the width of the cantilever beam
, and [L.sub.m] is the length of the suspended mass.
The flexural cantilever beam
to be considered is the straight, uniform beam with an additional rigid mass attached by fixed connection.
1st 2nd 3rd 4th order/Hz order/Hz order/Hz order/Hz Target 486.3 1341 1480 1824 Measured 457.5 1246 1468 1789 Corrected 487.5 1333 1490 1845 Errors before correction 5.9% 7.1% 0.8% 1.9% Errors after correction 0.2% 0.6% 0.7% 1.2% TABLE 2: Parameters of the cantilever beam
. Parameters l/m b/m h/m [rho]/ E/MPa (K x [m.sup.-3]) Values 1.5 0.05 0.012 7547 2.07 x [10.sup.5]
Case of cantilever beam
free end and distributed force applied
The step motor drives the micrometer screw which deflects the cantilever beam
of a value given by the controlling program.
When calculating the coating stress using equation (2), it is important to consider how the presence of the walls influences the deflection of the coated cantilever beams
. Because of its low Young's modulus as well as its good adhesion to silicon, polydimethylsiloxane (PDMS, Sylgard[R] 184, Dow Corning) was chosen for the wall material.
The double cantilever beam
(DCB) test is widely used for evaluation of the mode-I fracture energy originally developed for studying the fracture of adhesively bonded joints .