【正文】
我們尋找特定的解決方案應(yīng)變潛力的形式在圖層。溫度場的擾動(dòng)用如下方程來解決: 其中,167。 那么我們可以寫下下面的等式: V=c1c2。TEI,盤式制動(dòng) 閘 。is the imaginary unit. The parameter m=m( n) =2pin/cir =2pi/L, where n is the number of hot spots on the circumference of the disc cir and L is wavelength of perturbations. The symbols T0m and p0m in the above formulae denote the amplitudes of initial nonuniformities (. fluctuations). Both perturbations (2) and (3) will be searched as plex functions their real part describing the actual perturbation of temperature or pressure field. Obviously, if the growth rate b0, the initial fluctuations are damped. On the other hand, instability develops if B〉 0. . Temperature field perturbation Heat flux in the direction of the xaxis is zero when the ribbed portion of the disc is considered. Next, let us denote ki = Ki/Qicpi coefficient of the layer i temperature diffusion. Parameters Ki, Qi, cpi are, respectively, the thermal conductivity, density and specific heat of the material for i =1,2. They have been recalculated to the entire volume of the layer (i = 3) when the ribbed portion of the disc is considered. The perturbation of the temperature field is the solution of the equations With and it will meet the following conditions: 1, The layers 1 and 2 will have the same temperature at the contact surface 2, The layers 2 and 3 will reach the same temperature and the same heat flux in the direction y , 3, Antisymmetric condition at the midplane The perturbations will be zero at the external surface of a friction pad (If, instead, zero heat flux through external surface has been specified, we obtain practically identical numerical solution for current pads). If we write the temperature development in individual layers in a suitable form we obtain where and . Thermo elastic stresses and displacements For the sake of simplicity, let us consider the ribbed portion of the disc to be isotropic environment with corrected modulus of elasticity though, actually, the stiffness of this layer in the direction x differs from that in the direction y. Such simplification is, however, admissible as the yielding central layer 3 practically does not take effect on the disc flexural rigidity unlike full sidewalls (layer 2). Given a thermal field perturbation, we can express the stress state and displacements caused by this perturbation for any layer. The thermo elastic p