Deformation and stability of technologically imperfect cylindrical shells in a nonuniform stress state

Study of eigenfrequencies with the help of Prony’s method

“…Exceeding these values can lead to the structural failure of object. It is especially important for thin-walled structures which can fail due to minimal relative movement of structure members [1,2]. Such situations occur rather frequently nowadays.…”

“…Olevskyi 1, b) and V.I. Olevskyi 2, c) 1 Oles Honchar Dnipro National University, 9 Naukova str., 49010 Abstract. Eigenfrequencies can be crucial in the design of a construction.…”

Applications of 2D Padé Approximants in Nonlinear Shell Theory: Stability Calculation and Experimental Justification

“…In solving various kinds of problems of modern development and improvement of thinwalled machine elements operating under the conditions of intensive manufacturing process, the use of a holographic interferometry method should be emphasized [10,11,14]. It allows for a more accurate and complete investigation of shell structures under complex stress-strain state.…”

“…In addition, these disadvantages are compounded by the increasing number of control points. The use of MSEA allows each step to obtain unbiased estimates of the effective coefficients of the model to ensure a maximum plausible value of the order of the reference points [11]. This eliminates the problem of choosing a smoothing parameter, with the number needed to calculate the coefficients one order of magnitude smaller than the number of coordinates of reference points.…”

Surfaces Modelling Using Isotropic Fractional-Rational Curves

“…To solve this problem, shells of zero Gaussian curvature were used [3,4], which are simple in design and manufacture. But it did not always give the best result when covering complex structures, since the carrying capacity of such shells significantly depends on small deviations of their overall contour from the ideal shape [5]. The elimination of these drawbacks in the most natural way is possible using minimal surfaces [6], whose theory has been successfully developed for a long time.…”