NUMERICAL ANALYSIS OF RECTANGULAR ISOTROPIC AND ORTHOTROPIC THIN PLATES BASED ON THE RADIAL POINT INTERPOLATION METHOD (RPIM)

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NAJAFIZADEH SEYED MOHAMMAD MAHDI; ALAVI SEYED MAJID; NEZAMABADI ALI REZA; KOUGANI MOHSEN; ABBASI MAHDI

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Journal: INTERNATIONAL JOURNAL OF ADVANCED DESIGN AND MANUFACTURING TECHNOLOGY Year:2010 | Volume:3 | Issue:3 (11) Page(s): 7-16

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Title

NUMERICAL ANALYSIS OF RECTANGULAR ISOTROPIC AND ORTHOTROPIC THIN PLATES BASED ON THE RADIAL POINT INTERPOLATION METHOD (RPIM)

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Keywords

ELEMENT FREE METHODSQ3

CLASSICAL PLATES THEORYQ3

RADIAL POINT INTERPOLATION METHODQ3

WEAK FORM GALERKIN METHODQ3

Abstract

In the recent paper, one of the numerical methods without element, for static analysis of thin plates displacement based on CLASSICAL PLATES THEORY (CPT), has been presented. In this method, the domain of problem solving is shown only by the means of a set of nodes, and there is no need to any mesh scheme or element. One of the kinds of ELEMENT FREE METHODS used here is the RADIAL POINT INTERPOLATION METHOD (RPIM). In order to access to the governing equations, the Hamilton principle is used in the form of Galerkin weak form. Using interpolating functions, the field variables, namely the displacement, are approximated, and by applying the governing equations, the convergence and the accuracy of the present method are studied. Results of the present method are compared with the results of the exact solution of analytical methods of plates and also with the finite element method (FEM). In addition, the effects of thickness ratio to length, appearance coefficient, and node distribution are discussed.

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References

A RADIAL POINT INTERPOLATION METHOD FOR SIMULATION OF TWO-DIMENSIONAL PIEZOELECTRIC STRUCTURES

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APA: Copy

NAJAFIZADEH, SEYED MOHAMMAD MAHDI, ALAVI, SEYED MAJID, NEZAMABADI, ALI REZA, KOUGANI, MOHSEN, & ABBASI, MAHDI. (2010). NUMERICAL ANALYSIS OF RECTANGULAR ISOTROPIC AND ORTHOTROPIC THIN PLATES BASED ON THE RADIAL POINT INTERPOLATION METHOD (RPIM). INTERNATIONAL JOURNAL OF ADVANCED DESIGN AND MANUFACTURING TECHNOLOGY, 3(3 (11)), 7-16. SID. https://sid.ir/paper/172401/en

Vancouver: Copy

NAJAFIZADEH SEYED MOHAMMAD MAHDI, ALAVI SEYED MAJID, NEZAMABADI ALI REZA, KOUGANI MOHSEN, ABBASI MAHDI. NUMERICAL ANALYSIS OF RECTANGULAR ISOTROPIC AND ORTHOTROPIC THIN PLATES BASED ON THE RADIAL POINT INTERPOLATION METHOD (RPIM). INTERNATIONAL JOURNAL OF ADVANCED DESIGN AND MANUFACTURING TECHNOLOGY[Internet]. 2010;3(3 (11)):7-16. Available from: https://sid.ir/paper/172401/en

IEEE: Copy

SEYED MOHAMMAD MAHDI NAJAFIZADEH, SEYED MAJID ALAVI, ALI REZA NEZAMABADI, MOHSEN KOUGANI, and MAHDI ABBASI, “NUMERICAL ANALYSIS OF RECTANGULAR ISOTROPIC AND ORTHOTROPIC THIN PLATES BASED ON THE RADIAL POINT INTERPOLATION METHOD (RPIM),” INTERNATIONAL JOURNAL OF ADVANCED DESIGN AND MANUFACTURING TECHNOLOGY, vol. 3, no. 3 (11), pp. 7–16, 2010, [Online]. Available: https://sid.ir/paper/172401/en

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