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A variational method is presented for determining the stressstrain state of three-dimensional elastic structures based on the use of approximating functions with fi nite carriers of an arbitrary degree ... The presented method can be successfully used both for the calculation of three-dimensional composite structures and for the calculation of thin shells using curvilinear coordinate systems, a comparison ... Displacements in a local curvilinear coordinate system, β 1 , β 2 , β 3 , are recorded through movements in the global Cartesian coordinate system, x, y, z. (5) Where -matrix of guide cosines of a local ...doi:10.5937/jaes18-24130 fatcat:ojlh243lrbdwpbejoxnevdllia
The paper presents an innovative concept of integral stiffening of the thin-walled structures based on the use of curvilinear elements. ... A comparative analysis of deformation forms and ranges as well as effective stress distributions was conducted. ... the most favourable solution from the point of view of both the form of deformation and stress distribution. ...doi:10.12913/22998624/115814 fatcat:jmlyzn5m6feifl5s6uva3d2n4a
Curved- beam elements based on curvilinear coordinates were reported by Noor et al. (1977). ... used the deformed shape of a straight beam as the initial shape of a shallow curved beam. ...
For this purpose an algorithm for curvilinear finite-difference meshing based on the solution of the elasticity theory has been developed. ... This paper presents a computational analysis of the deformation and fracture mechanisms of a material with a porous polysilazane coating under tension and compression. ... Acknowledgements The work was supported by Russian Science Foundation (grant No. 14-19-00766) and a program to increase the competence of National Research Tomsk Polytechnic University. ...doi:10.1088/1757-899x/71/1/012072 fatcat:llvt7rr43jalfn5jd6c6h7dzcy
The contour twist generated rotational displacements under tensile load, but the curvilinear coordinate suppressed rotational displacement. ... The antagonistic action of two types of structural elements (a contour twist and a curvilinear coordinate) was found to result in an irregular deformation response but with only small fluctuations. ... The Institute of Scientific and Industrial Research, Osaka University, Mihogaoka 8-1, Ibaraki-shi, Osaka 567-0047, Japan. 2 ...doi:10.1038/s41598-020-80890-1 pmid:33437010 fatcat:uwwb7qwugrezpgu6n22cnsjhq4
Materials & design
The deformational curvature of the free end of the plate increased with the curvature of the scanning curve. ... The effects of curvature M of the scanning path, laser power P, scanning velocity V, and the distance H e from the scanning line to the free end on the forming process were investigated. ... Effect of distance from heating line to free end (H e )on plate forming J o u r n a l P r e -p r o o f Forming quality analysis Based on the above process study, specimens before and after forming under ...doi:10.1016/j.matdes.2020.108614 fatcat:zlggl4t6srfojn6wr3ecxwtrgi
Shock and Vibration
Carrying out numerical examples, it is shown that the element provides exact static deformations. Finally efficiency of the method in free vibration analysis is verified through several examples. ... The efficiency and accuracy of the elements proposed by the Finite Element Method (FEM) considerably depend on the interpolating functions, namely shape functions, used to formulate the displacement field ... Acknowledgement The financial support provided by the Vice Chancellor for Research of University of Tehran is deeply appreciated. ...doi:10.1155/2012/786191 fatcat:bbd6ten4pnhexbtnk44rjhndku
Nonlocal higher order free vibration and buckling analysis of a cylindrical nano shell is studied in this paper based on nonlocal 3D elasticity theory and third order shear deformation theory proposed ... One can conclude that combination of important theories such as Reddy's shear deformation theory and nonlocal Tiersten-Mindlin's theory to a more complicated structure such as cylindrical nano-structures ... cylindrical nano-panelThe following form of the buckling (free vibrations) displacements satisfy the prescribed simply supported boundary conditions (the Navier solution): Figure 3 3 demonstrate the ...doi:10.1016/j.compstruct.2020.112541 fatcat:dcpaxiyqrzf4nhobvsz57he3yu
Description of the dynamic behavior is made by the structure discretization into a system of curvilinear iso-parametric finite elements used in modal analysis. ... Results: Displacement amplitudesare obtained by decomposition into vibration eigenforms. ... The components of the elastic deformation tensor are given in the following form: curvature radius of the hull. ...doi:10.9734/cjast/2020/v39i930612 fatcat:mb7oytem75gz5pdij64tdzswom
The membrane-surface migration of curvature-inducing proteins in response to membrane curvature gradients has been investigated using Monte Carlo simulations of a curvilinear membrane model based on the ... The migration and partitioning of curvatureinducing proteins in a budding vesicle with a stable neck (with a characteristic negative value of the Gaussian curvature) is investigated. ... Sunil Kumar for sharing the curvilinear MC code used in this study. ...doi:10.1080/00268976.2012.664661 pmid:26500377 pmcid:PMC4613783 fatcat:mvh3fmavovgj3acxcsftzp73mu
A finite element analysis of the laminate is performed to predict its out-of-plane displacements for the two possible stable configurations that may be obtained after the curing process. ... This paper presents a new concept for morphing composite structures based on variable stiffness composite plates. ... Comparison of the free-edges of the second shape between the straight and curvilinear fiber models. a) Free-edge at x = 0. b) Free-edge at x = 360 mm. ...doi:10.1016/j.compstruct.2012.10.053 fatcat:es3uzev45zfsrdpio3wbkfil4u
We study the nature of the tsunami build up and propagation during and after realistic curvilinear source models represented by a slowly uplift faulting and a spreading slip-fault model. ... We analyzed the normalized peak amplitude as a function of the propagated uplift length, width and the average depth of the ocean along the propagation path. ... We construct mathematically a reasonable curvilinear tsunami source based on available geological, seismological, and tsunami elevation. ...doi:10.4236/am.2010.11007 fatcat:lnrt37g6a5gx5mb2qul72nhjvm
We study the nature of the tsunami build up and propagation during and after realistic curvilinear source models represented by a slowly uplift faulting and a spreading slip-fault model. ... We analyzed the normalized peak amplitude as a function of the propagated uplift length, width and the average depth of the ocean along the propagation path. ... We construct mathematically a reasonable curvilinear tsunami source based on available geological, seismological, and tsunami elevation. ...doi:10.1016/j.apm.2010.05.007 fatcat:vl4egbb4y5blzkog2tz2z3qbji
based rests on the assumption that the elastic displace BBSSRBRES AS ... The main concern of the paper are two questions: (i) the form of the boundary conditions along a free edge of a shallow shell which deforms inextensionally ; (ii) the determination of the frequencies of ...
Journal of Aircraft
Strain and Kinetic Energy of the Plate Based on FSDT, the transverse displacements and rotations in the plate are assumed in the following form: uy (X.Y, 2.0) = 26, (X.Y, Up (X,Y, Z, 0) = zP, (X,Y, w(x ... For free vibration of the plate with curvilinear stiffeners, one has p implies the transverse displace- (x. ¥. 0) = 9, (X, He o, (x, y, t) = 9, (x, yye™ w,(x, yt) = w(x, ye" (3) where ¢, (xX. y), 9, (X ...doi:10.2514/1.44613 fatcat:ezew2jozfnhxpjxtajrzuorz7y
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