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The Shallow Spherical Shell Subjected to Point Load or Hot Spot
Author(s) -
Reismann Herbert,
Thurston Gaylen A.,
Holston Alvin A.
Publication year - 1965
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19650450204
Subject(s) - spherical shell , shell (structure) , hot spot (computer programming) , boundary value problem , point (geometry) , transverse plane , mechanics , geometry , physics , boundary (topology) , materials science , structural engineering , mathematics , mathematical analysis , engineering , composite material , computer science , operating system
Abstract This investigation extends the method of singular solutions to encompass the treatment of the boundary value problem of shallow spherical shells with circular boundaries. The shell or shell frustrum is assumed to be subjected to arbitrarily located transverse point loads or hot spots. A specific example, the clamped, shallow spherical shell under eccentric point load is discussed in detail.