THE RESPONSE OF TWO-DIMENSIONAL PERIODIC STRUCTURES TO IMPULSIVE POINT LOADING

✍ Scribed by R.S. Langley

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 527 KB
• Volume: 201
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1996.0744

✦ Synopsis

This work is concerned with the response of an infinite two-dimensional periodic structure to an impulsive point load or, equivalently, the response of a finite system at times before the disturbance reaches the system boundaries. Initially, a modal approach is employed to yield an expression for the response of a finite system under Born-von Ka´rma´n boundary conditions. By allowing the system size to become large, the modal response summation is converted to an integral and the method of stationary phase is employed, with due allowance being made for the occurrence of caustics. With this approach, the response is expressed in terms of the properties of the ''phase constant surfaces'' which arise in the analysis of plane wave motion through the system. The method is applied to an example lumped mass system and a comparison is made with results yielded by direct numerical simulation. The method is found to be efficient and accurate, and a number of observations are made regarding the physical nature of the system response.