Multiple Point Loading on Thin Cantilever Rectangular Plate Subjected to Pure Bending

In the applications of pure bending of thin cantilever plates, unlike a beam, twisting arises with the bending unless it is accomplished to pure bending. This paper emphases the theoretical study of the integration of multiple point loadings (vertical and Inclined) over the thin plate to eliminate the twisting and predict the definite bending for the linearly elastic material. The cantilever plate is further studied through numerical simulations using finite element analysis (FEA) in ANSYS. This FEA helps to finalize the type of modelling approach that predicts large deflection’s behaviour agreeing closely with theoretical solutions. Also, in the experimental procedure, various artificial intelligence (A.I.) techniques can reduce complexity; minimize the dependence on humans, and improve design efficiency. The process presented in this paper is inspired by Euler’s classical beam theory (moment-curvature relationship) and ANN, which approximates the problem and compensates the errors.

Study of Vibration Characteristics of Cantilever Rectangular Plate with Side Crack

In this paper, the vibration characteristics of the cantilever rectangular plate with side crack are studied in the way of analysis, which including natural frequency and mode shape. The influences of different parameters of crack, such as the locations and lengths of crack, to the vibration characteristics of the cantilever rectangular plate are investigated. The modal function of the crack plate consists two parts, which are (1) the modal function of intact cantilever rectangular plate from beam functions combination method and (2) corner functions presenting the discontinuity of displacement and slope along the crack. The natural frequencies and modal shapes can be obtained when taking the modal function into the method of Ritz. At last, the effects of the crack location and crack length on the vibration characteristics are investigated, and it could provide the theoretical basis for engineering application and the relevant study.