Accession Number:

AD0692414

Title:

STABILITY ANALYSIS IN DISCRETE MECHANICS.

Descriptive Note:

Technical rept.,

Corporate Author:

WISCONSIN UNIV MADISON DEPT OF COMPUTER SCIENCES

Personal Author(s):

• Cryer,Colin W.

Report Date:

1969-06-01

Pagination or Media Count:

22.0

Abstract:

Greenspan has developed a discrete version of Newtonian mechanics, called discrete mechanics, which he has used to derive finite difference approximations to nonlinear problems in mechanics. The stability of one of these finite difference approximations is analyzed in detail using the energy method. It is found that the theoretical stability limit agrees exactly with the stability limit observed experimentally. Author

Descriptors:

• (*VIBRATION
• BOUNDARY VALUE PROBLEMS)
• (*NUMERICAL ANALYSIS
• STABILITY)
• APPROXIMATION(MATHEMATICS)
• DIFFERENCE EQUATIONS
• NONLINEAR SYSTEMS
• NUMERICAL INTEGRATION
• INEQUALITIES
• DAMPING
• THEOREMS

Subject Categories:

• Theoretical Mathematics
• Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE