Structural Stability and Vibration by Sine Leergaard Wiggers & Pauli Pedersen

Author:Sine Leergaard Wiggers & Pauli Pedersen
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

By the assumption of small displacements, we find the (x, y)-components of the force N to be (). Thus, the total transverse force Q will be or

(9.29)

Inserting this in the elementary case result (9.3) with , we have:

(9.30)

which we write in homogeneous form

(9.31)

The determining condition for a nonzero solution then gives

(9.32)

which, for (dead load), agrees with our earlier result (9.17). Primarily, we note that the right-hand side is always a real quantity and that our model thus cannot exhibit flutter instability.

Sign change nominator or denominator

The question of harmonic vibration or divergent instability is then answered directly by the sign of the important function , and this sign can be changed by the nominator or by the denominator. Introducing our specific flexibilities (9.4), we get the well-known result

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.