Spatial variation of stress, strain and acceleration in structures subject to broad frequency band excitation

作者: S.M. Stearn

DOI: 10.1016/0022-460X(70)90049-0

关键词: MathematicsAccelerationGeometryMathematical analysisNormal modeRoot mean squareStress (mechanics)Range (statistics)Stress–strain curveStandard deviationFrequency bandMechanical engineeringAcoustics and UltrasonicsMechanics of MaterialsCondensed matter physics

摘要: Abstract The analysis of vibrating systems by the statistical energy method leads to a level mean square stress in terms few relatively simple system parameters. This paper derives likely variation stress, strain and acceleration about spatial average similar Starting from stresses simply-supported plate effect various complicated boundaries is considered as random perturbation nodal lines plate. statistics are then found result for normalized standard deviation number normal modes structure excited. Similar results strain. Experimental presented which agree well with theory over range structures. possible use these design indicated.

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