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The Spline Limitid Point Method For Analying The Non-Rule Plate Of Moderate Thickness

Posted on:2007-10-30Degree:MasterType:Thesis
Country:ChinaCandidate:Z G ZhuFull Text:PDF
GTID:2120360185487485Subject:Solid mechanics
Abstract/Summary:
This paper according to basic hypothesis of Mindlin, turn three-dimensional space problems of the plate of moderate thickness to two flat surface problems .We make use of the elasticity constitutive relation, deduce the influence of internal force and displacement relate to the formula of a plate of moderate thickness considered the shear function and extrusions transform.Control according to the boundary and the characteristic of the knothole plane surface coordinate system, frame of axes internal node strain to construct a displacement function for correspond. In the X the function that square heading up we all use the broad sense parameter form of the spline function of B three times.For the dissimilarity of the X direction boundary we need to make the homologous variety to the result matrice beginning and end of the kind sommer beam integral calculus only, handle more simple.The function that the square of the Y heading up we according to the beam is handing over to flap the pattern function structure, and choose according to the Y direction different boundary constraint and different coordinate system, frame of axes then fit just hand over the function.On the knothole bending problem of non- statute arbitrarily shape", we carry on the demarcation of equivalent, make the "non- statute "as the statute batten of articulation.Usage" The Spline Limited Point Method" deduces an each statute batten each from of energy be suffused with the letter, carry on "The energy folds to add" according to" the conservation of energy principle", the matrice fold to add. According to the principle of minimum potential...
Keywords/Search Tags:Non-rule, Plate of moderate thickness, Spline Limited Point Method
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