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Madhujit Mukhopadhyay - One of the best experts on this subject based on the ideXlab platform.

  • Development of a new efficient stiffened Plate Element for dynamic analysis of a three-dimensional ship structure:
    Proceedings of the Institution of Mechanical Engineers Part M: Journal of Engineering for the Maritime Environment, 2002
    Co-Authors: Y.v. Satish Kumar, Madhujit Mukhopadhyay, Tanmay Sarkar
    Abstract:

    The dynamic analysis of a complete ship structure is presented using a new stiffened Plate Element to model the hull plating, bulkheads, decks and other parts. The analysis is based on three-dimensional modelling of the complete vessel, and the hydrodynamic loads are computed using a panel method (based on linear diffraction theory). The stiffened Plate Element can elegantly accommodate any number of arbitrarily oriented stiffeners and obviates the use of mesh lines along the longitudinals and transverses. It enhances the flexibility in mesh generation over the hull components. Analysis is limited to zero forward speed and head sea conditions only. As an example, three-dimensional dynamic analysis of a bulk carrier with an accurate treatment of stiffeners is presented. Results in terms of stress amplitudes are presented for several wave frequencies. The present method provides a unique, elegant and economic way for three-dimensional dynamic analysis of complete ship structures.

  • A new stiffened Plate Element for the analysis of arbitrary Plates
    Thin-walled Structures, 2002
    Co-Authors: Manoranjan Barik, Madhujit Mukhopadhyay
    Abstract:

    In spite of the large number of finite Elements developed so far, most of these lack in generality, and are found to be inadequate and inefficient in some way or other, when it comes to analyzing Plates of arbitrary geometrical configurations. So far the isoparametric Element has been the most successful among available Elements because of its ability to model a curved boundary successfully. However, the shear-locking problem inherent in the isoparametric Element makes it unsuitable for analyzing thin Plates of arbitrary shapes. Though research has been conducted using reduced integration and stabilization to overcome the problem, the formulations either do not converge to the correct solution in the thin-Plate limit or they make the stiffness matrix a singular one. In this paper, a four-noded stiffened Plate Element is developed. This has the advantages and elegance of an isoparametric Element in modelling arbitrary shaped Plates, but without the disadvantage of shear-locking phenomena. Though this Element is a high-order Element, only the usual degrees of freedom have been considered, and performance is superior to that of the low-order ones. The stiffened Plate Element has the feature of accommodating the arbitrary shape of the Plate geometry, and the stiffener modelling has been done in a general manner, with the stiffener lying anywhere with arbitrary orientation, and not necessarily following the nodal lines. The new Element has been successfully used for the static, free vibration and stability analyses of arbitrary bare and stiffened Plates. The results are found to agree quite satisfactorily with those of previous investigators.

  • A New Stiffened Plate Element for the Analysis of Arbitrary Plates
    Structural Engineering Mechanics and Computation, 2001
    Co-Authors: Manoranjan Barik, Madhujit Mukhopadhyay
    Abstract:

    Publisher Summary In spite of a large number of Elements developed so far, most of them lack in generality and are found to be inadequate and inefficient in some way or other for analyzing Plates of arbitrary geometrical configurations. The isoparametric Element has been the most successful one among available Elements because of its generality to model a curved boundary successfully. But the shear-locking problem inherent in the isoparametric Element makes it unsuitable for analyzing thin Plates of arbitrary shapes. In this chapter, a four-noded stiffened Plate Element is developed, which has advantages and elegance of an isoparametric Element to model arbitrary shaped Plates but without the disadvantage of shear-locking phenomena. The Element developed for the analysis of stiffened Plates has the same feature of accommodating the arbitrary shape of the Plate geometry, and the stiffener modeling is done in a general manner. The stiffener is considered in such a way as to lie anywhere within the Plate Element and need not follow the nodal line. Further, the orientation of the stiffener is kept arbitrary, which makes the analysis more flexible and the mesh division independent of the location and orientation of the stiffener. The new Element has been successfully used for the static, dynamic, and stability analyses of arbitrary bare and stiffened Plates.

  • Long-Term Structural Analysis of 3-D Ship Structures Using a New Stiffened Plate Element
    Journal of Offshore Mechanics and Arctic Engineering, 2000
    Co-Authors: Y.v. Satish Kumar, Madhujit Mukhopadhyay, Tanmay Sarkar
    Abstract:

    The paper presents the development of a technique for long-term 3-D structural analysis of the complete ship using a new stiffened Plate Element. The 3-D analysis involves the 3-D finite Element modeling of the vessel and evaluation of hydrodynamic pressures using the 3-D linear diffraction theory. The elegance of the present stiffened Plate Element is that it can accommodate any number of arbitrarily oriented stiffeners within the Plate Element. Thus, the formulation obviates the use of mesh lines strictly along the longitudinals and transverses of the ship, which minimizes the required number of degrees of freedom of the finite Element model of the complete vessel and reduces the computational effort considerably. The long-term prediction for the worst hydrodynamic pressures in the lifetime of the ship is carried out using the ISSC spectrum and scatter tables of Indian coastal waters. As an example problem, long-term structural analysis of a mini-bulk carrier in Indian coastal waters is presented in the paper. The long-term pressures are estimated with a probability of exceedence of 10−4 and principal stresses are calculated. It is shown that the present method provides a new, elegant, and economic technique for long-term 3-D structural analysis of the complete ship.

  • Finite Element analysis of ship structures using a new stiffened Plate Element
    Applied Ocean Research, 2000
    Co-Authors: Y.v. Satish Kumar, Madhujit Mukhopadhyay
    Abstract:

    A new stiffened Plate Element is developed for the three-dimensional finite Element analysis of ship structures. The Plate Element can accommodate any number of arbitrarily oriented stiffeners and obviates the use of mesh lines along the stiffeners. The new Element provides a very economic global analysis of the complete ship structure with fewer Elements and without any loss of accuracy. The global analysis of a rectangular box shaped vessel is carried out with the present Element and compared with the general-purpose finite Element software NISA. An Offshore Tug/Supply Vessel is analysed for crest at perpendiculars.

Y.v. Satish Kumar - One of the best experts on this subject based on the ideXlab platform.

  • Development of a new efficient stiffened Plate Element for dynamic analysis of a three-dimensional ship structure:
    Proceedings of the Institution of Mechanical Engineers Part M: Journal of Engineering for the Maritime Environment, 2002
    Co-Authors: Y.v. Satish Kumar, Madhujit Mukhopadhyay, Tanmay Sarkar
    Abstract:

    The dynamic analysis of a complete ship structure is presented using a new stiffened Plate Element to model the hull plating, bulkheads, decks and other parts. The analysis is based on three-dimensional modelling of the complete vessel, and the hydrodynamic loads are computed using a panel method (based on linear diffraction theory). The stiffened Plate Element can elegantly accommodate any number of arbitrarily oriented stiffeners and obviates the use of mesh lines along the longitudinals and transverses. It enhances the flexibility in mesh generation over the hull components. Analysis is limited to zero forward speed and head sea conditions only. As an example, three-dimensional dynamic analysis of a bulk carrier with an accurate treatment of stiffeners is presented. Results in terms of stress amplitudes are presented for several wave frequencies. The present method provides a unique, elegant and economic way for three-dimensional dynamic analysis of complete ship structures.

  • Long-Term Structural Analysis of 3-D Ship Structures Using a New Stiffened Plate Element
    Journal of Offshore Mechanics and Arctic Engineering, 2000
    Co-Authors: Y.v. Satish Kumar, Madhujit Mukhopadhyay, Tanmay Sarkar
    Abstract:

    The paper presents the development of a technique for long-term 3-D structural analysis of the complete ship using a new stiffened Plate Element. The 3-D analysis involves the 3-D finite Element modeling of the vessel and evaluation of hydrodynamic pressures using the 3-D linear diffraction theory. The elegance of the present stiffened Plate Element is that it can accommodate any number of arbitrarily oriented stiffeners within the Plate Element. Thus, the formulation obviates the use of mesh lines strictly along the longitudinals and transverses of the ship, which minimizes the required number of degrees of freedom of the finite Element model of the complete vessel and reduces the computational effort considerably. The long-term prediction for the worst hydrodynamic pressures in the lifetime of the ship is carried out using the ISSC spectrum and scatter tables of Indian coastal waters. As an example problem, long-term structural analysis of a mini-bulk carrier in Indian coastal waters is presented in the paper. The long-term pressures are estimated with a probability of exceedence of 10−4 and principal stresses are calculated. It is shown that the present method provides a new, elegant, and economic technique for long-term 3-D structural analysis of the complete ship.

  • Finite Element analysis of ship structures using a new stiffened Plate Element
    Applied Ocean Research, 2000
    Co-Authors: Y.v. Satish Kumar, Madhujit Mukhopadhyay
    Abstract:

    A new stiffened Plate Element is developed for the three-dimensional finite Element analysis of ship structures. The Plate Element can accommodate any number of arbitrarily oriented stiffeners and obviates the use of mesh lines along the stiffeners. The new Element provides a very economic global analysis of the complete ship structure with fewer Elements and without any loss of accuracy. The global analysis of a rectangular box shaped vessel is carried out with the present Element and compared with the general-purpose finite Element software NISA. An Offshore Tug/Supply Vessel is analysed for crest at perpendiculars.

  • A new triangular stiffened Plate Element for laminate analysis
    Composites Science and Technology, 2000
    Co-Authors: Y.v. Satish Kumar, Madhujit Mukhopadhyay
    Abstract:

    Abstract A new stiffened Plate Element for the analysis of laminated stiffened Plates has been presented. The basic Plate Element is a combination of Allman's plane stress triangular Element and discrete Kirchhoff–Mindlin Plate bending Element. The stiffened Plate Element has been developed to include the effects of transverse shear. The Element can accommodate any number of arbitrarily oriented stiffeners and is completely free from the usual constraints on the mesh division of the Plates. The Element has no problems associated with shear locking — a phenomenon usually encountered in isoparametric Elements. Static and free vibration analyses of laminated stiffened Plates have been carried out with this Element and the results are compared with those published.

M. Ganapathi - One of the best experts on this subject based on the ideXlab platform.

  • A new shear flexible cubic spline Plate Element for vibration analysis
    International Journal for Numerical Methods in Engineering, 2002
    Co-Authors: B.p. Patel, M. Ganapathi
    Abstract:

    Here, a new cubic B-spline Plate Element is developed using field consistency principle, for vibration analysis. The formulation includes anisotropy, transverse shear deformation, in-plane and rotary inertia effects. The Element is based on a laminated refined Plate theory, which satisfies the interface transverse shear stress and displacement continuity, and has a vanishing shear stress on the top and bottom surfaces of the Plates. The lack of consistency in the shear strain field interpolations in its constrained physical limits produces poor convergence and results in unacceptable solutions due to locking phenomenon. Hence, numerical experimentation for the evaluation of natural frequencies of Plates is carried out to check this deficiency with a series of assumed shear strain functions, redistributed in a field consistent manner.

Zhang Ying-hong - One of the best experts on this subject based on the ideXlab platform.

  • A new wavelet-based thin Plate Element using B-spline wavelet on the interval
    Computational Mechanics, 2007
    Co-Authors: Xiang Jia-wei, Chen Xuefeng, He Zhengjia, Zhang Ying-hong
    Abstract:

    By interacting and synchronizing wavelet theory in mathematics and variational principle in finite Element method, a class of wavelet-based Plate Element is constructed. In the construction of wavelet-based Plate Element, the Element displacement field represented by the coefficients of wavelet expansions in wavelet space is transformed into the physical degree of freedoms in finite Element space via the corresponding two-dimensional C1 type transformation matrix. Then, based on the associated generalized function of potential energy of thin Plate bending and vibration problems, the scaling functions of B-spline wavelet on the interval (BSWI) at different scale are employed directly to form the multi-scale finite Element approximation basis so as to construct BSWI Plate Element via variational principle. BSWI Plate Element combines the accuracy of B-spline functions approximation and various wavelet-based Elements for structural analysis. Some static and dynamic numerical examples are studied to demonstrate the performances of the present Element.

Chen Wanji - One of the best experts on this subject based on the ideXlab platform.