Harmonic Wave Diminution and Energy Scatter in a Planar Domain with Randomly Inhomogeneous Material Density
Motivation of this study is the propagation of waves in 2D continuum with microscopic non-homogeneity.The paper presents an analysis of compress wave propagation in two-dimensional continuum, the density of which includes a significant random function of planar coordinates.Im perfections are considered Gaussian of diffusion type (exponential correlation) and to be small (in the meaning of variance).Harmonic synchronous excitation is applied on the domain boundary.The relevant stochastic Helmholtz equation for the compressional wave.potential is discussed as a governing mathematical mo-del.The integral spectral decomposition procedure is used to deduce the integro-differential system describing the deterministic component (mathematical mean value) and the functions characterizing the variance and other second stochastic moment of the response.It revealed that phenomena of wave deterioration in a continuum with random imperfections cannot be analyzed using the method of small parameter, as it leads to the discrepancy with the energy equi librium law.There has been shown that the response indeterminacy increases with the growing dis tance between the excitation and observation.
wave scattering planar waves wave distortion material random imperfections Integro-algebraic equation elliptic integrals
J.Náprstek C.Fischer J.D.Yau
Institute of Theoretical and Applied Mechanics, v.v.i., Prague, Czech Republic Department of Architecture, Tamkang University, Taipei, Taiwan, China
国际会议
第六届国际环境振动学术研讨会(6th International Symposium on Environmental Vibration)(ISEV2013)
上海
英文
94-101
2013-11-08（万方平台首次上网日期，不代表论文的发表时间）