Analysis of the Dynamic Characteristics of Conical Shells of Variable Thickness on an Elastic Bed Under Unsteady Loading

被引：0
作者：
Lugovyi, P. Z. [1 ]
Meish, Yu. A. [1 ]
Orlenko, S. P. [1 ]
Arnauta, N. V. [2 ]
机构：
[1] Natl Acad Sci Ukraine, Timoshenko Inst Mech, Kiev, Ukraine
[2] Natl Univ life & Environm Sci Ukraine, Kiev, Ukraine
来源：
STRENGTH OF MATERIALS | 2024年 / 56卷 / 01期
关键词：
dynamic characteristics; conical shell of variable thickness; shell parameters; Pasternak elastic bed; natural frequency; pulse loading; finite difference method; mechanical effects; FREE-VIBRATION ANALYSIS;
D O I：
10.1007/s11223-024-00623-x
中图分类号：
TB3 [工程材料学];
学科分类号：
0805 ; 080502 ;
摘要：
The model of Timoshenko's shell theory of shells was used to analyze the dynamic characteristics of conical shells of variable thickness on a Pasternak elastic bed under nonstationary loading. Based on the Hamilton-Ostrogradsky variational principle, the equations of motion of a conical shell of variable thickness on a Pasternak elastic bed were derived. This system of hyperbolic differential equations is solved by the finite difference method. The numerical algorithm for solving the obtained equations is based on applying the integral-interpolation method for constructing difference schemes in the spatial coordinate and an explicit finite difference scheme for integration in the time coordinate. The influence of geometric dimensions, taper angle, and elastic media on the natural frequencies and other dynamic characteristics of a conical shell of variable thickness under the action of a pulsed load is analyzed using specific examples. New mechanical effects are revealed.
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收藏
页码：20 / 32
页数：13
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