Journal
Scientific and Technical Journal of Information Technologies, Mechanics and Optics
UDK519.63
Issue:1 (165)
Solution of the formation problem of the antisymmetric forms stability loss for a highly elastic CFCF-plate
Annotation
Antisymmetric forms (A-A) of the stability loss of a highly elastic rectangular plate in which two parallel faces are pinched, and the other two are free (CFCF), under the influence of a compressive load on the pinched faces, are investigated. The desired shapes are represented by two odd hyperbolic-trigonometric series with coefficients which should ensure the exact fulfillment of all the conditions of the problem. The problem was reduced to solving a homogeneous infinite system of linear algebraic equations with respect to a single sequence of coefficients containing as a parameter the desired critical load which was found by “firing” during the iterative process. The first three critical loads for a square plate are found and their 3D images are presented. The results obtained can be used in calculations of sensitive elements of various sensors in microelectronics, biology, and medicine.
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