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Viscoelastic cylindrical shell with periodic power flow


h2-0.6 also narrow the field decay, which is 0.860 ≤ ≤ 0.914} and h5hl domain of the attenuation is very wide. It is 0.740 ≤ force ≤ 1.378. If the shell thickness of the shell re-sets the same h3h, but the length change is 0.31, the first communication domain is 0.280 ≤ blood ≤ 0.920, while the second communication domain from the beginning dint 1.362. When = 0.51 which represents the infinite continuous shell, the shell thickness equal to 4 times the original inner shell. At this point a 0.376 wave began to spread from the blood,[link widoczny dla zalogowanych], and there is no attenuation of the middle domain. Increase the lower bound of the first transmission frequency domain are increased. When the shell length by a = 0. II change is f a 0.31, only slightly widened intermediate attenuation domain, and there are some changes in the frequency range. Therefore, by increasing the spread of shell length to change the scope of the domain did not increase its effective thickness. Figure 3 corresponds to Figure 2, the input power flow of the shell body. In the attenuation domain, that is not dead 10 power flow input shell. When h. Increases. Therefore, widening the scope of the input field attenuation shell power flow reduced the frequency range. In the first communication within the body to increase the value of h Zhao has decreased, but in the second communication domain, while the corpse of the h value increases greatly increased. When the shell thickness h is constant, will increase the body decreases. A shell thickness of 0.51 that the continuous increase of 4 times the shell, its body is very small. This was mainly due to external force at the shell to improve stiffness of the shell displacement amplitude decreases,[link widoczny dla zalogowanych], so the input power flow is also reduced. 4.2 periodic consideration of different materials within the composite shell shell shell made of steel and rubber components from the complex propagation constant of the shell units. Shell length and shell thickness fl = 0.11 h, respectively, and a 5h hz a 10h. Not consider the damping rubber, the material properties are: E a 2.3x10. N / m. . P-1100kg / m, a 0.4. Due to limited space, the following discussion only and no longer drawing. When h2 = 5h, crossing Congli = 0.042 begun to spread,[link widoczny dla zalogowanych], and which does not decay between the domains,[link widoczny dla zalogowanych], similar to the situation in light shell. This is because the rubber is relatively soft compared to steel, h = 5h rubber outer shell of the transition to the spread of little effect. When h10h, waves began to spread from the blood = 0.160, and the middle of a fading force field 0.81 ≤ ≤ 0.968, so the rubber on the outer shell is now the wave had a greater influence. Comparison of shell material is steel and rubber when the result of hard materials can know only in a smaller shell thickness of the wave can be generated on the cyclical effect, and the soft material must be in a larger thickness play the same effect. Corresponding power flow curve similar to the previous discussion of viscoelastic cylindrical shell with periodic 4.3 This section discusses the case for the viscoelastic material, its elastic modulus and loss factor is E = 3.0478 · 10 · F 10 , l613 · F one. . 1 Zhang chrome: Recovering elastic periodic revolves round live shell propagation constant power flow in Figure 2 (. A 0.11.: A 0.6h-) Figure 3, the input power flow case (fl a 0.1.2 -0.6h-) where F is the frequency in Hz, this section also studied the larger damping = 57 / situation. Study = 0.1l, h 5l and loss factor of production roar of viscoelastic composite shell propagation constant curve. It compared to the situation with no damping,[link widoczny dla zalogowanych], we can find it still maintains a similar shape, but the curve is no longer the formation of 3,4-conjugate pairs, they have some differences. The same is true curves 1,2. Near-field wave propagation wave of the real and imaginary parts of Nigeria is not blocked, they still depend on their wave nature. Propagation delay crossing the Niger role of the real existence of the smaller decay constant, so the amplitude decreases gradually when the wave propagation. Propagation and attenuation of time domain, the domain boundaries have been blurred. Communication domain that is similar to those phase changes between 0 and one. The decay constant smaller areas. At this time there will be power in the attenuation of the input domain, and dissemination. Increase the length and thickness of damping layer on the input power flow with and without damping effect similar shell, but increase the damping material loss factor can greatly reduce the peak of the power flow. Internal forces in the shell of the transmitted power flow characteristics and a similar case without damping, then the power flow is attenuated along the shell to spread. After 40 cycles in the distance, the total power flow has been greatly attenuated. Table 1 is a damping D shell of a 0.7 in the frequency spread of the internal forces of power flow and the percentage of input power flow, P. A Pw + Pw + Ps + P is the total power flow cross-section, t, that pass through a cycle distance, Table 2 and Table 3 correspond to the same length and thickness of the shell but the shell, respectively, doubling the situation. Comparing the three tables can be found to increase the thickness of damping layer is more conducive than increasing the length of the transmission loss of power flow along the shell 8 of Vibration Engineering Volume 6, Table l along the shell mass

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