Stochastic stability of a plate in a magnetic field

DOI10.1007/BF01179614zbMath0555.73096MaRDI QIDQ761280

Włodzimierz Kurnik, Andrzej Tylikowski

Publication date: 1984

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

Ito formulaexterior magnetic fieldGaussian stochastic processessimply supportedwhite and non-white compressing processesalmost sure asymptotic stability regionsdirect Liapunov functionals methodKozins methodnormal to the plate middle surfacerectangular, beamlike, conducting platetime-varying compressing forcestwo opposite edgesuniform stochastic stability

Mathematics Subject Classification ID

Electromagnetic effects in solid mechanics (74F15) Stochastic stability in control theory (93E15) Dynamical problems in solid mechanics (74H99) Equilibrium (steady-state) problems in solid mechanics (74G99)

Cites Work

• On the magnetoelasticity of thin shells and plates
• On the Optimal Control of a System Governed by a Linear Parabolic Equation with White Noise Inputs
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