Author
Milomir M. Stanišić
Bio: Milomir M. Stanišić is an academic researcher. The author has contributed to research in topics: Covariance & Boundary value problem. The author has an hindex of 1, co-authored 1 publications receiving 11 citations.
Topics: Covariance, Boundary value problem
Papers
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TL;DR: By virtue of the mean square calculus, a technique has been developed to determine the covariance and spectral density functions for a plate of arbitrary boundary conditions subjected to loadings that are random in space and time as mentioned in this paper.
Abstract: By virtue of the mean‐square calculus, a technique has been developed to determine the covariance and spectral‐density functions for a plate of arbitrary boundary conditions subjected to loadings that are random in space and time Also cross covariance and resulting spectral density functions are found As an illustrative example, the theory developed here is applied to a simply supported plate subjected to both a point load and a line load that is random in time only The solutions are presented in the form of infinite series that converge rapidly
12 citations
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TL;DR: In this article, a finite element formulation and Gaussian quadrature procedure, using both the direct complex matrix inversion and the modal superposition methods, are presented for studying the stationary random response of shell structures, such as a cooling tower.
Abstract: A finite element formulation and Gaussian quadrature procedure, using both the direct complex matrix inversion and the modal superposition methods, are presented for studying the stationary random response of shell structures, such as a cooling tower. The random distributed loads are assumed as stationary in time but can be nonhomogeneous in space. A 48 d.o.f. quadrilateral shell element with bi‐cubic Hermitian polynomial interpolation functions as displacement shape functions is adopted. The shape functions are used to form the matrix of cross‐spectral densities of the generalized nodal forces for distributed loads. The shape functions are also used to interpolate the response quantities at an arbitrary pair of points located within two different elements. Cross‐spectral densities of displacement and stresses are first obtained for a simply supported cylindrical panel subjected to purely random load, using both the direct and modal superposition methods, which are in excellent agreement with an earlier a...
32 citations
TL;DR: In this article, the response of a general elastic linear continuous system to earthquake ground motion is considered, and the reliability of design is considered and the probability of barrier crossing is discussed.
18 citations
TL;DR: In this article, the mean square bending moment of a thick rectangular plate excited by a uniform distribution of stationary random forces that are uncorrelated in space is calculated, assuming that the plate has in-plane compressive or tensile stresses.
11 citations
TL;DR: In this article, a method is presented to predict the root mean square displacement response of an open curved thin shell structure subjected to a turbulent boundary-layer-induced random pressure field, where the displacement functions are derived from Sanders' thin shell theory.
6 citations