The transformation of the modal equations into the force equations

✍ Scribed by A.E. Anuta Jr

• Book ID: 104268856
• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 559 KB
• Volume: 63
• Category: Article
• ISSN: 0045-7949
• DOI: 10.1016/s0045-7949(96)00411-7

✦ Synopsis

For discrete, linear elastic systems in free vibration, the existing methods of problem solution employ as input values, the system mass coefficients and either its stiffness or influence coefficients. The output vailues for these methods are, the system natural frequencies, and corresponding member displacements, which are its mode shapes. By transforming the modal equations into the problem force equations, using the same input values, the output values hecome the system natural frequencies and the corresponding member forces. Since stresses are most easily calculated from forces, the force equations appear to he ideally suited for engineering design.