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Relative to the exact model, the error in natural frequency prediction for the three approaches is about 42 percent, 003 percent, and 51 percent, respectively While none of these simpli cations give exactly the same result as the exact model, all are close and the error involved in approach 2 is below the error introduced by any reasonable measurement system Strictly speaking, all of these simpli cations are wrong in that they do not precisely predict the natural frequency Nevertheless, they are useful since they reduce complexity, produce reasonable approximations, and demonstrate which physical parameters are signi cant in determining the natural frequency of the body mode For instance, it is much clearer from these simple models that the sprung mass and the suspension spring stiffness are the major determinants of the body mode natural frequency While it would be possible to choose the equivalent mass above and then choose an equivalent stiffness that produced a value numerically equal to the exact natural frequency of the body mode, this stiffness would lose its connection to physical parameters Hence its usefulness as a design tool would be reduced and the model would be valid only for the one speci c system for which it was developed The fact that the three approaches above all produce similar results provides some measure of con dence in removing the tire degree of freedom In this case, it follows from the fact that the tire mass is an order of magnitude smaller than that of the body, while the tire stiffness is about an order of magnitude larger Hence, assuming that the mass is zero or the stiffness is in nite are both reasonable assumptions to make In other systems, only one of these assumptions may be appropriate, based upon the physical parameters A reasonable approach to producing dynamic models of cam-driven systems, therefore, is to start with some understanding of the mass and stiffness of each component in the system With this information, the model can be reduced such that the most compliant (least stiff) or most massive components are retained and the models ignore natural frequencies above the frequency range of interest This ensures that the model remains as simple as possible Of course, it is then necessary to verify (by verifying that the natural frequencies associated with the components assumed to be rigid are outside the region of interest or, preferably, though experimental validation) that the model is not too simple Models can be scaled up in complexity by replacing some of the stiffnesses or masses.

// Demonstrate the shift << and >> operators using System; class ShiftDemo { static void Main() { int val = 1;

Part I:

7 Enter the user name and password to be passed through to the data source as discussed earlier in Two Approaches to Login Parameters If you wish to pass through individual database credentials for each user, check the appropriate box 8 Depending on the database type, select the name of the database and the name of the database server Then click Next 9 When prompted to test your connection, always select Perform A Test This will tell you if you have incorrectly entered a login parameter Click Next 10 Confirm or modify the Advanced Parameters and click Next 11 Confirm or modify any Custom Parameters and click Finish 12 When you are returned to the list of connections, click Finish to close the Connection Wizard

removed by model reduction, thus generating additional degrees of freedom and additional natural frequencies at successively higher frequencies

25:

IEnumerable<T> declares the GetEnumerator( ) method as shown here: IEnumerator<T> GetEnumerator( ) It returns an enumerator of type T for the collection Thus, it returns a type-safe enumerator IEnumerator<T> has the same two methods as does the non-generic IEnumerator: MoveNext( ) and Reset( ) It also declares a generic version of the Current property, as shown here: T Current { get; } It returns a T reference to the next object Thus, the generic version of Current is type-safe There is one other difference between IEnumerator and IEnumerator<T>: IEnumerator<T> inherits the IDisposable interface, but IEnumerator does not IDisposable defines the Dispose( ) method, which is used to free unmanaged resources

There are a number of options in Designer that determine the appearance of tables in the universe pane, how your universe definitions are saved, and printed reports These options are discussed in various chapters as they are used

supports the non-generic version of GetEnumerator( ) IEnumerator<T> also implements the non-generic IEnumerator interface, thus supporting the non-generic versions of Current

Inertia forces in most cam-follower systems are the most important of all the forces analyzed, especially at high speeds Inertia forces are caused by the necessity of moving the follower masses linearly or rotationally The inertia force on a linearly moving follower is Fa = where A = acceleration, in/sec2 w = equivalent follower weight, lb The inertia force, passing through the center of gravity of the body, has a direction opposite to that of the acceleration By D Alembert s principle, we may make a free-body diagram of all forces and analyze the dynamic condition as a static problem, Fig 81a For rotating bodies, the analysis is similar If the body has an unbalanced torque, it will have an angular acceleration which will be resisted by a torque reaction The direction of this torque will be opposite to the direction of acceleration (Fig 81b) The torque is: w A lb g (81)

The IComparer<T> interface is the generic version of IComparer described earlier The main difference between the two is that IComparer<T> is type-safe, declaring the generic version of Compare( ) shown here: int Compare(T x, T y) This method compares x with y and returns greater than zero if x is greater than y, zero if the two objects are the same, and less than zero if x is less that y

Settings on the Designer database options determine if your universe joins and objects are automatically inserted and interact with strategies as discussed earlier in this chapter To access these options, select Tools | Options | Database from the pull-down menus