 Home
 Products
 Integration
 Tutorial
 Barcode FAQ
 Purchase
 Company
barcode generator vb.net source code VIBRATION AND CONTROL OF VIBRATION 31.11 in Software
VIBRATION AND CONTROL OF VIBRATION 31.11 Reading GTIN  13 In None Using Barcode Control SDK for Software Control to generate, create, read, scan barcode image in Software applications. EAN 13 Generator In None Using Barcode creation for Software Control to generate, create EAN13 image in Software applications. VIBRATION AND CONTROL OF VIBRATION
Recognizing GTIN  13 In None Using Barcode scanner for Software Control to read, scan read, scan image in Software applications. Generating GTIN  13 In C#.NET Using Barcode printer for VS .NET Control to generate, create EAN / UCC  13 image in VS .NET applications. FIGURE 31.9 Phaseangle frequency response for forced motion.
Print EAN / UCC  13 In .NET Using Barcode generation for ASP.NET Control to generate, create EAN / UCC  13 image in ASP.NET applications. GTIN  13 Printer In .NET Using Barcode generation for .NET framework Control to generate, create EAN13 Supplement 5 image in Visual Studio .NET applications. Substituting the system response from Eq. (31.27) into Eq. (31.36) gives FT = T sin ( t ) F0 where the nondimensional magnitude of the transmitted force T is given by T= 1 + (2 / n)2 2 (1 2 / n)2 + (2 / n)2 Print EAN 13 In VB.NET Using Barcode maker for Visual Studio .NET Control to generate, create EAN 13 image in .NET applications. Code 3 Of 9 Creation In None Using Barcode drawer for Software Control to generate, create Code 3/9 image in Software applications. (31.37) Print UCC  12 In None Using Barcode maker for Software Control to generate, create GS1128 image in Software applications. Barcode Generation In None Using Barcode creation for Software Control to generate, create bar code image in Software applications. (31.38) Code 128B Generation In None Using Barcode printer for Software Control to generate, create Code 128 Code Set C image in Software applications. EAN13 Drawer In None Using Barcode creator for Software Control to generate, create EAN13 image in Software applications. and the phase between FT and F0 is given by = tan 1 2 ( / n)3 1 2/ 2 + 4 2 2/ 2 n n (31.39) Generating ISSN  10 In None Using Barcode generator for Software Control to generate, create ISSN  10 image in Software applications. Paint Code 128B In ObjectiveC Using Barcode generation for iPhone Control to generate, create Code128 image in iPhone applications. The transmissibility T is shown in Fig. 31.12 versus forcing frequency. At very low forcing frequencies, the transmissibility is close to unity, showing that the applied force is directly transmitted to the foundation. The transmissibility is very large in the vicinity of the system natural frequency, and for high forcing frequencies the transmitted force decreases considerably. The phase variation between the transmitted force and the applied force is shown in Fig. 31.13. Rotating Imbalance. When machines with rotating imbalances are mounted on elastic supports, they constitute a vibrating system subjected to excitation from the Creating UPCA In None Using Barcode generator for Microsoft Excel Control to generate, create UPC A image in Excel applications. ANSI/AIM Code 128 Decoder In .NET Using Barcode decoder for .NET framework Control to read, scan read, scan image in VS .NET applications. Downloaded from Digital Engineering Library @ McGrawHill (www.digitalengineeringlibrary.com) Copyright 2004 The McGrawHill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website. UCC  12 Generator In Visual Studio .NET Using Barcode drawer for Reporting Service Control to generate, create UPC A image in Reporting Service applications. Data Matrix Creation In None Using Barcode drawer for Online Control to generate, create Data Matrix ECC200 image in Online applications. VIBRATION AND CONTROL OF VIBRATION 31.12
Linear Drawer In C# Using Barcode drawer for VS .NET Control to generate, create Linear 1D Barcode image in .NET framework applications. European Article Number 13 Creation In VS .NET Using Barcode generator for ASP.NET Control to generate, create EAN13 image in ASP.NET applications. LOAD CAPABILITY CONSIDERATIONS
FIGURE 31.10 Velocity frequency response.
rotating imbalance. If the natural frequency of the system coincides with the frequency of rotation of the machine imbalance, it will result in severe vibrations of the machine and the support structure. Consider a machine of mass M supported as shown in Fig. 31.14. Let the imbalance be a mass m with an eccentricity e and rotating with a frequency . Consider the motion x of the mass M m, with xm as the motion of the unbalanced mass m relative to the machine mass M. The equation of motion is (M m) + m( + m) + cx + kx = 0 x x x The motion of the unbalanced mass relative to the machine is xm = e sin t Substitution in Eq. (31.40) leads to M + cx + kx = me 2 sin t x (31.42) (31.41) (31.40) Downloaded from Digital Engineering Library @ McGrawHill (www.digitalengineeringlibrary.com) Copyright 2004 The McGrawHill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website. VIBRATION AND CONTROL OF VIBRATION 31.13
VIBRATION AND CONTROL OF VIBRATION
FIGURE 31.11 Acceleration frequency response.
This equation is similar to Eq. (31.25), where the force amplitude F0 is replaced by me 2. Hence, the steadystate solution of Eq. (31.42) is similar in form to Eq. (31.27) and is given nondimensionally as ( / n)2 sin ( t ) x M = [(1 2/ 2 )2 + (2 / n)2]1/2 e m n where tan = 2 / n 1 2/ 2 n (31.44) (31.43) Note that since the excitation is proportional to 2, the response has an 2 term in the numerator and resembles the acceleration response of a system subjected to a force of constant magnitude, given by Eq. (31.35). The complete solution consists of the complementary part of the solution and is Downloaded from Digital Engineering Library @ McGrawHill (www.digitalengineeringlibrary.com) Copyright 2004 The McGrawHill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website. VIBRATION AND CONTROL OF VIBRATION 31.14
LOAD CAPABILITY CONSIDERATIONS
FIGURE 31.12 Transmissibility plot.
x = exp nt {A exp [( 2 1)1/2 nt] + B exp [ ( 2 1)1/2 nt]} + me( / n)2 sin ( t ) M[(1 2/ 2 )2 + (2 / n)2]1/2 n (31.45) System Excited at the Foundation. When the system is excited at the foundation, as shown in Fig. 31.15, with a certain displacement u(t) = U0 sin t, the equation of motion can be written as m + c(x u ) + k(x u) = 0 x This equation can be written in the form m + cx + kx = cu0 cos t + ku0 sin t x = F0 sin ( t + ) (31.47) (31.46) Downloaded from Digital Engineering Library @ McGrawHill (www.digitalengineeringlibrary.com) Copyright 2004 The McGrawHill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.

