Deformation of Three-Layer Ellipsoidal Shells Reinforced with Longitudinal Ribs Under Non-Stationary Loading

被引：0

作者：

Meish, V. F. ^{[1
]}

Meish, Yu. A. ^{[2
]}

Maiborodina, N. V. ^{[3
]}

Storozhuk, E. A. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, S P Timoshenko Inst Mech, 3 Nesterova St, Kiev 03057, Ukraine

[2] Natl Transport Univ, 1 Suvorova St, UA-01010 Kiev, Ukraine

[3] Nizhyn Agrotech Univ, Separated Subdiv Natl Univ Life & Environm Sci Ukr, Nizhin Agrotech Inst, 10 Shevchenko St, UA-16600 Nishyn, Ukraine

来源：

INTERNATIONAL APPLIED MECHANICS | 2023年 / 59卷 / 03期

关键词：

three-layer ellipsoidal shell; reinforcing rib; Timoshenko model; forced vibrations; impulsive load; numerical solution; VIBRATIONS; REVOLUTION;

D O I：

10.1007/s10778-023-01221-1

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Dynamic problems of the forced vibrations of tree-layer ellipsoidal shells reinforced with longitudinal ribs under non-stationary surface loading are stated. The basic equations for reinforced three-layer ellipsoidal shell are derived using the Timoshenko model and allowing for geometrical nonlinearity. The vibration equations for these shells are derived from the Hamilton-Ostrogradsky variational principle. A numerical technique for solving these problems is developed. It is based on the integro-interpolation method of construction of difference schemes with respect to the spatial coordinates and explicit finite-difference scheme with respect to the time coordinate. The dynamic processes in reinforced and smooth open clamped three-layer ellipsoidal shells acted upon by uniformly distributed impulsive pressure are studied.

引用

页码：292 / 303

页数：12

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