https://earsiv.odu.edu.tr/xmlui/handle/11489/756 Fri, 27 Feb 2026 10:02:48 GMT 2026-02-27T10:02:48Z https://earsiv.odu.edu.tr/xmlui/handle/11489/5318 Title: Buckling analysis of stiffened plate structures by an improved meshfree flat shell formulation Authors: Sadamoto, S.; Tanaka, S.; Taniguchi, K.; Ozdemir, M.; Bui, T. Q.; Murakami, C.; Yanagihara, D. Abstract: An efficient Galerkin meshfree flat shell formulation is presented for the analysis of buckling behaviors of stiffened plate structures. Both plate bending and membrane deformations are approximated by the reproducing kernel particle method (RKPM). The governing equation is transformed into a weak,form, and it is discretized by the scattered nodes. The stiffness matrix is numerically integrated with the nodal integration technique, i.e., the stabilized conforming nodal integration (SCNI). The RKPM and SCNI based flat shell modeling approach can address the shear locking problem. Additionally, the present discretization is further improved by involving a drilling rotation component, which is to effectively model the stiffeners. There are six degrees of freedom per node. A singular kernel is also introduced into a set of the interpolants to model the web/flange connection, as well as the imposition of the essential boundary conditions. A generalized eigenvalue problem is analyzed for evaluating buckling loads/modes of the stiffened plate structures. The accuracy of the numerical results and the effectiveness of the proposed method are examined through several numerical examples. Description: WoS Categories: Engineering, Civil; Engineering, Mechanical; Mechanics; Web of Science Index: Science Citation Index Expanded (SCI-EXPANDED); Research Areas: Engineering; Mechanics Sun, 01 Jan 2017 00:00:00 GMT https://earsiv.odu.edu.tr/xmlui/handle/11489/5318 2017-01-01T00:00:00Z https://earsiv.odu.edu.tr/xmlui/handle/11489/5311 Title: Application of 6-DOFs meshfree modeling to linear buckling analysis of stiffened plates with curvilinear surfaces Authors: Ozdemir, M.; Sadamoto, S.; Tanaka, S.; Okazawa, S.; Yu, T. T.; Bui, T. Q. Abstract: A buckling analysis of stiffened plates including curvilinear surfaces is carried out by an effective meshfree model. The buckling loads and modes computed by the present method are analyzed. Six degrees of freedom (6-DOFs) curved shell meshfree formulation in a convected coordinate system including a drilling rotation component is employed, which enables the assembly of curved shells for the modeling of more complex structures. By this formulation, the assembly of any arbitrary shape of geometry can be modeled in convected coordinates, while the 5-DOFs shell formulation suffers from the modeling of shell assemblies. Particularly, curved shells with straight stiffeners and plates with curvilinear stiffeners are considered. Furthermore, a twisted T-shaped structure where both web and flange have curvilinear geometry is analyzed. A meshfree discretization is employed, with which the reproducing kernel particle method is used as the meshfree interpolant. A boundary singular kernel method is adopted to precisely impose an essential boundary condition and to model folded shell geometries. The accuracy and effectiveness of the proposed method are demonstrated by several shell buckling problems for stiffened plate structures with curvilinear surfaces. The obtained meshfree results are compared with the linear and quadratic shell element results of finite element method ANSYS and discussed. Description: WoS Categories: Mechanics; Web of Science Index: Science Citation Index Expanded (SCI-EXPANDED); Research Areas: Mechanics Mon, 01 Jan 2018 00:00:00 GMT https://earsiv.odu.edu.tr/xmlui/handle/11489/5311 2018-01-01T00:00:00Z https://earsiv.odu.edu.tr/xmlui/handle/11489/5306 Title: An effective meshfree reproducing kernel method for buckling analysis of cylindrical shells with and without cutouts Authors: Sadamoto, S.; Ozdemir, M.; Tanaka, S.; Taniguchi, K.; Yu, T. T.; Bui, T. Q. Abstract: The paper is concerned with eigen buckling analysis of curvilinear shells with and without cutouts by an effective meshfree method. In particular, shallow shell, cylinder and perforated cylinder buckling problems are considered. A Galerkin meshfree reproducing kernel (RK) approach is then developed. The present meshfree curvilinear shell model is based on Reissner-Mindlin plate formulation, which allows the transverse shear deformation of the curved shells. There are five degrees of freedom per node (i.e., three displacements and two rotations). In this setting, the meshfree interpolation functions are derived from the RK. A singular kernel is introduced to impose the essential boundary conditions because of the RK shape functions, which do not automatically possess the Kronecker delta property. The stiffness matrix is derived using the stabilized conforming nodal integration technique. A convected coordinate system is introduced into the formulation to deal with the curvilinear surface. More importantly, the RKs taken here are used not only for the interpolation of the curved geometry, but also for the approximation of field variables. Several numerical examples with shallow shells and full cylinder models are considered, and the critical buckling loads and their buckling mode shapes are calculated by the meshfree eigenvalue analysis and examined. To show the accuracy and performance of the developed meshfree method, the computed critical buckling loads and mode shapes are compared with reference solutions based on boundary domain element, finite element and analytical methods. Description: WoS Categories: Mathematics, Interdisciplinary Applications; Mechanics; Web of Science Index: Science Citation Index Expanded (SCI-EXPANDED); Research Areas: Mathematics; Mechanics Sun, 01 Jan 2017 00:00:00 GMT https://earsiv.odu.edu.tr/xmlui/handle/11489/5306 2017-01-01T00:00:00Z https://earsiv.odu.edu.tr/xmlui/handle/11489/5255 Title: New extensions of Hermite-Hadamard inequalities via generalized proportional fractional integral Authors: Mumcu, Ilker; Set, Erhan; Akdemir, Ahmet Ocak; Jarad, Fahd Abstract: The main aim this work is to give Hermite-Hadamard inequalities for convex functions via generalized proportional fractional integrals. We also obtained extensions of Hermite-Hadamard type inequalities for generalized proportional fractional integrals. Description: WoS Categories: Mathematics, Applied; Web of Science Index: Science Citation Index Expanded (SCI-EXPANDED); Research Areas: Mathematics Mon, 01 Jan 2024 00:00:00 GMT https://earsiv.odu.edu.tr/xmlui/handle/11489/5255 2024-01-01T00:00:00Z