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CAM SYSTEM DYNAMICS RESPONSE in Software
CAM SYSTEM DYNAMICS RESPONSE Create Data Matrix 2d Barcode In None Using Barcode maker for Software Control to generate, create Data Matrix 2d barcode image in Software applications. Scan Data Matrix 2d Barcode In None Using Barcode recognizer for Software Control to read, scan read, scan image in Software applications. (a) No damping
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Paint Data Matrix ECC200 In None Using Barcode generation for Software Control to generate, create Data Matrix image in Software applications. Printing ANSI/AIM Code 39 In None Using Barcode encoder for Software Control to generate, create Code 3 of 9 image in Software applications. FIGURE 131 Vibratory response characteristics of camfollower for simple harmonic and cycloidal input, Hrones (1948) Mitchell (1950) USS ITF 2/5 Generator In None Using Barcode printer for Software Control to generate, create Uniform Symbology Specification ITF image in Software applications. Code 39 Full ASCII Creator In ObjectiveC Using Barcode printer for iPhone Control to generate, create Code 39 Extended image in iPhone applications. 132 RESPONSE IN FREQUENCY DOMAIN
Code 39 Printer In Java Using Barcode creator for BIRT Control to generate, create ANSI/AIM Code 39 image in Eclipse BIRT applications. Draw European Article Number 13 In Java Using Barcode encoder for Java Control to generate, create EAN 13 image in Java applications. As speed increases in a camfollower system, a rapid exchange of energy occurs within the system and the noise of operation also increases This sudden energy shift takes place between the elastic members and the masses during operation The energy shift is also visible as high follower vibration This action is termed mechanical shock and its related system response a shock response A shock is de ned as the physical manifestation of the transfer of mechanical energy from one body to another during an extremely short interval of time (see 9) The shock response spectrum or the response spectrum is one of the two most commonly used methods of analyzing mechanical shock The other method is the Fourier spectrum analysis In both cases, the time history of the transient is converted into an amplitude versus frequency picture, or spectrum Neklutin (1954) was the rst to employ this technique in the study of camdriven systems Thus, a valuable method of expressing the dynamic response of a camfollower system is to obtain the dynamic response spectra (DRS) of the cam s excitations A DRS is de ned as a plot of individual peakacceleration responses of a multitude of singledegreeoffreedom, massspring systems subject to a particular input transient The ordinate is usually acceleration, or some normalized expression relating to acceleration, while the abscissa is in terms of the system natural frequency, or the ratio of pulse duration to the system natural period Damping is a parameter, and if possible, its values should be stated; otherwise, it is usually assumed to be zero To illustrate the DRS, we start with a given input pulse and carry out a mathematical computation to obtain the response of a singledegreeoffreedom linear system subject to that input It is best to rst compute the follower acceleration as a function of time Then nd the maximum follower acceleration and plot it on a graph versus the fundamental period of the one DOF system This provides one point on the diagram By holding the damping of the system constant and varying the system s natural frequency by changing Barcode Creator In Visual Studio .NET Using Barcode drawer for ASP.NET Control to generate, create bar code image in ASP.NET applications. Scan DataMatrix In VB.NET Using Barcode reader for .NET Control to read, scan read, scan image in Visual Studio .NET applications. CAM DESIGN HANDBOOK
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SNA =
(131) Nomenclature for these equations and the gures: wn = camfollower system natural frequency xm = maximum displacement of output ym = cam maximum displacement ym = cam maximum velocity m = cam maximum acceleration y T1/TN = ratio of pulse width to system natural period Figure 132 shows the acceleration DRS of a modi ed trapezoidal cam with 5 percent critical damping Curves with other damping values can be added if so desired The curves peak at several values of wn From the spectra a designer can ascertain how systems of different periods relate to speci c inputs Also, it is found that damping has a greater effect on the residual vibration than on the primary response In establishing the acceptable damping factor it is usually conservative to use a value near the low end of the choices 1321 Example For illustration, consider a camfollower system used in a highspeed automatic machine modeled with a single DOF, Chen (1982) The follower is actuated by a dwellrisedwell cam with a modi ed trapezoidal pro le The peak input acceleration is 500 m/sec2, and the duration of the excitation is 0015 sec If the follower linkage of the system is such that it has a natural frequency of 100 Hz, what will be the peak acceleration response of the follower during the lift stroke and during the dwell period Let us assume the damping factor is 005 1322 Solution With reference to Fig 132 with 5 percent damping and at time ratio T1/TN = 0015 100 = 15, the primary acceleration ampli cation is 298, and the residual acceleration amplication is 188 Therefore, the primary acceleration response will be 298 times the input or 1490 m/sec2, and the residual acceleration response will be 188 times the input or 940 m/sec2 If the effective mass of the follower is 40 N, the corresponding inertial load of the follower is 6075 N due to primary vibration and 3833 N due to residual vibration Next, a quantitative comparison (Chen, 1981) of the dynamic characteristics of various types of dwellrisedwell cam pro les will be shown Based on a singleDOF model, a

