This paper considers elastic isotropic plates in the form of isosceles triangles with combined boundary conditions (a combination of hinged support and rigid restraint conditions along the sides of the contour). Calculations were performed using FEM to determine the integral physical characteristics in the considered problems F (the maximum deflection of uniformly loaded plates w0 and the fundamental frequency of oscillations in the unloaded state ω). On the basis of the obtained numerical results, approximating functions have been constructed: "maximum deflection - form factor of plates", "basic frequency of oscillations - form factor of plates", the structure of which corresponds to the structure of similar formulas obtained when presenting known exact solutions in the corresponding problems of technical theory of plates in isoperimetric form. Based on the properties of the form factor of plates, these approximating functions limit the whole set of considered integral physical quantities and therefore can be used as reference solutions for the calculation of triangular plates of arbitrary form applying the method of interpolation by form factor (MIFF). We consider an example of calculation of a plate in the form of a rectangular triangle with hinged support of the sides.
ФГБОУ ВО «Орловский государственный аграрный университет имени Н.В. Парахина», г. Орел, Россия Аннотация. В статье рассматривается возможность применения коэффициента затухания колебаний для определения класса бетона железобетонных балок без предварительного напряжения арматуры в упругой стадии работы. Предложено использовать данный параметр в качестве характеристики, учитывающей потери энергии в колебательной системе. Вероятно, что изменение класса бетона окажет прямое влияние на интенсивность затухания колебаний, поскольку с увеличением класса бетона упругие свойства конструкции начинают преобладать над пластическими. При обеспечении одинаковых условий опирания и контроля экспериментальных конструкций потери энергии за счет различных физических и деформативных свойств изделий проявятся в полной мере, а коэффициент затухания колебаний позволит определить эти свойства с меньшими погрешностями и большей стабильностью по сравнению с ультразвуковым или механическим методами. Разработан способ определения класса бетона, основанный на использовании эталонных конструкций и построении аналитической зависимости коэффициента затухания колебаний от класса бетона. Для исследуемого типа и размера железобетонных конструкций получена меньшая погрешность определения класса бетона по сравнению с известными методами.Ключевые слова: железобетонные балки, класс бетона, неразрушающие методы контроля, вибрационный метод, коэффициент затухания колебаний.Abstract. The article considers the possibility of using the vibration-damping coefficient to determine the concrete class of reinforced concrete beams without prestressing reinforcement in the elastic stage of work. It is proposed to use this parameter as a characteristic that takes into account energy losses in an oscillatory system. It is likely that a change in the class of concrete will have a direct effect on the intensity of the damping of vibrations, since with an increase in the class of concrete the elastic properties of the structure begin to prevail over the plastic ones. Providing the same conditions of support and control of experimental designs, energy losses due to various physical and deforming properties of the products will be fully manifested, and the damping coefficient of vibrations will allow determining these properties with less errors and greater stability compared to ultrasonic or mechanical methods. A method has been developed for determining the class of concrete, based on the use of reference structures and constructing an analytical dependence of the damping coefficient of vibrations on the class of concrete. For the studied type and size of reinforced concrete structures, a smaller error in determining the class of concrete is obtained in comparison with known methods.
Информация об авторах Абашин Евгений Геннадьевич, кандидат технических наук, доцент кафедры агропромышленного и гражданского строительства Инженер но-строительного института.
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