This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Problems and Solutions Section 8.6 (8.50 through 8.54) 8.50 Consider the machine punch of Figure P8.15. Recalculate the fundamental natural frequency by reducing the model obtained in Problem 8.16 to a single degree of freedom using Guyan reduction. Solution: From the results of 8.16 K = 422 2 10 8 , = .052 .013 .013 .026 (8.10429 = .052 + .013 + .013 + .026 = .104 (8.10529 = (4  229 10 8 = 2 10 8 = 2 10 8 .104 = 43852.9/ which is a poor prediction of the first natural frequency. If we reorder K and M (reducing to coordinate 2) we get Q T MQ = .026 + .013 + .013 = .052 = (2 129 10 8 = 1 10 8 = 43852.9/ which is the same result as reducing to coordinate 1. 8.51 Compute a reducedorder model of the threeelement model of a cantilevered bar given in Example 8.3.2 by eliminating u 2 and u 3 using Guyan reduction. Compare the frequencies of each model to those of the distributed model given in Window...
View Full
Document
 Winter '09
 Hill
 Natural Frequency

Click to edit the document details