Simplified dynamics of multilayered orthotropic viscoelastic plates

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Abstract

Based on a new approach to plate theory, procedures are developed for the dynamic analysis of multilayered plates. They provide analytical simplifications as well as refinements of the physical description which includes the skin effect. The various layers may be anisotropic and each of them may be constituted by thinly laminated materials with stress couples. The damping due to viscoelasticity is evaluated by a method which brings out the effectiveness of each component material. Detailed end conditions may be imposed at the supports at various points across the thickness. It is shown that a plane strain analysis provides immediately solutions of three-dimensional dynamics for multilayered plates with rectangular, triangular and circular plan forms.

Реферат

Ha ocнoвe нoвoгo пoдчoдa к тeopии плacтинoк дaютcя cпocoбы динaмичecкoгo aнaлизa мнoгocлoйныч плacтинoк. Oни дaют кaк aнaлитичecкиe yпpoшeния, тaк и yтoчнeниe физичe cкoй зaпиcи, кoтopoe yчитывaeт эффeкт пoвepчнocтнoгo cлoя. Paзныe cлoи мoгyт являтcя aнизoтpoпными и кaждый из нич мoжeт бытв cocтaвлeнный из плacтинчaтыч мaтepиaлoв, c мoмeнтными нaпpяжeниями. Oпpeдeляeтcя зaтyчaниe, вcлeдcтвиe вязкoyпpyгocти, мeтoдoм пoкaзывaющим эффeктивнocти кaждoгo cocтaвлeннoгo мaтepиaлa. Пoдpoбныe кpaeвыe ycлoвия мoгyт бытв пoлyчeны пpи oпиpaнияч в paзныч тoчкaч, пo тoлщинe. Yкaзывaeтcя, чтo aнaлиз плocкoгo дeфopмиpoвaннoгo cocтoяния дaeт нeпocpeдcтвeнныe peшeния тpeчмepнoй зaдaчи динaмики, для мнoгocлoйныч, пpямoyгoльныч, тpeчyгoльныч и кpyглыч плacтинoк.

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Cited by (7)

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This research has been sponsored by the A.F. Office of Scientific Research (SREM), 1400 Wilson Boulevard, Arlington, Virginia 22209, through the European Office of Aerospace Research, OAR, United States Air Force, under contract F 61052-69-C-0030.

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