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Abstract:

The object of this paper is to obtain all the stress resultants of an anisotropic (2n+1) layers plywood shell. The deferential equations of equilibrium of (2n+1) layers plywood shell under three simultaneous loads are obtained. The solution of the deferential equations for anisotropic (2n+1) layers plywood shell in case of two way compressions is obtained here. The stable region for a plywood shell in this case is obtained. Buckling diagram for five layers plywood shell and seven layers plywood shell are shown graphically as special cases.

Keywords:

an anisotropic layers,plywood shell, two way compressions,buckling diagram,

Refference:

I. Cheng, S. and Ho, B.P.C. (1963): ‘Some problems in stability of heterogeneous aeolotropic cylindrical shells under combined loading’ AIAA Journal, vol. 1, no. 7, pp. 1603-1607.

II. Cheng, S., and Kuenzi, E. W. (1963):‘Buckling of an Orthotropic or Plywood Cylindrical Shell under External Radial Pressure’, Proceedings of the 5th International Symposium on Space Technology and Science, Tokyo, pp 527.

III. De, A. (1983):‘Buckling of anisotropic ѕhеllѕ I ’, Application of Mathematics, vol. 28, no. 2, pp. 120-128.

IV. De, A. and Chaudhury, M. (2008):‘Buckling of double walled cylindrical shells with out shear load’, Bulletin of Calcutta Mathematical Society, vol. 100, no.5, and pp 515-528.

V. Flügge, W., (1973): Stresses in Shells, second edition, Springer-Verlag, New York.

VI. Hess, T. E. (1961):‘Stability of orthotropic cylindrical shells under combined loading’, ARS Journal, vol. 31, pp. 237-246.

VII. Lei, M. M. and Cheng, S. (1969):‘Buckling of composite and homogeneous isotropic cylindrical shells under axial and radial loading’, Journal of Applied Mechanics, vol. 8, pp..791-798.

VIII. Love, A. E. H. (1944): A Treatise on the Mathematical Theory of Elasticity, Dover publications, New York.

IX. Singer, J. and Fersh-Scher, R. (1964):‘Buckling of orthotropic conical shells under external pressure’, Aeronautical Quarterly, vol. XV, pp. 151-168.

X. Singer, J.(1962): ‘Buckling of orthotropic and stiffened conical shells’, Collесtеd papers on instability of shell ѕtruсturеѕ’. N. A. S. A. T. N. D-1510, pp. 463.

XI. Tasi, J. (1966):‘Effect of heterogeneity on the stability of composite cylindrical shells under axial compression’, AIAA Journal, vol. 4, pp. 1058-1062.

XII. Tasi, J., Feldman, A. and Stang, D. A. (1965):‘The buckling strength of filament-wound cylinders under axial compression’ CR-266, NASA.

XIII. Thieleman, W., Schnell, W. and Fischer, G. (1960):‘Buckling and post-buckling behaviour of orthotropic circular cylindrical shells subject to combined axial and internal pressure’, Zeitschrift Flugwiss, vol. 8, pp 284.

XIV. Timoshenko, S. and Woinowsky Krieger, S. (1983):‘Theory of plates and shells’ 4th Edition, McGraw-Hill International Book Company, New York.

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Abstract:

In this paper, we have included several characterizations of n-distributive lattices. Also we have generalized the prime Separation Theorem for an n-annihilator nJI⊥= (where J is a non-empty finite subset of L) and characterized the n-distributive lattices.

Keywords:

distributive lattices ,annihilator, prime Separation Theorem,

Refference:

I.Balasubramani P. and Venkatanarasimhan P. V., Characterizations of the 0- Distributive Lattices, Indian J. pure appl. Math. 32(3) 315-324, (2001).

II.Latif M . A. and Noor A. S. A., A generalization of Stone’s representation theorem . The Rajshahi University studies. (part B) 31(2003) 83-87.

III.Noor A. S. A. and Latif M. A., Finitely generated n-ideals of a lattice, SEA Bull .Math. 22(1998)72-79.

IV.Noor A. S. A. and Hafizur Rahman M., On largest congruence containing a convex sublattice as a class, The Rajshahi University studies. (part B) 26(1998)89-93.

V.Ayub Ali M., Noor A. S. A. and Podder S. R. n-distributive lattices, Submitted, Journal of Physical Sciences, Bidyasagar University, West Bengal, India.

VI. Powar Y.S.and Thakare N. K., 0-Distributive semilattices, Canad. Math. Bull. Vol.21(4) (1978), 469-475. 7) Varlet J. C., A generalization of the notion of pseudo-complementedness, Bull. Soc. Sci. Liege, 37(1968), 149-158.

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Abstract:

We forecast the food grain requirement and its production in Bangladesh. Before forecasting, we examine different methods and find time series model i.e. ARIMA model in different order predict accurate values. Then we used autoregressive integrated moving average (ARIMA) models to forecast the future amount of food grain in different years in this study. For the accuracy checking, we take the difference between the actual amount of food grain in a specific year and the predicted or the forecasting amount of the food grain in that year.

Keywords:

forecast,food grain ,production,ARIMA model,

Refference:

I.Assis, K., Amran, A., Remali, Y. and Affendy, H. (2010). A comparison of univariate time series methods for forecasting cocoa bean prices. Trends Agric. Econ., 3, 207–215.

II.Brokwell, P. J. & Davis, R. A. (1997). Introduction to Time Series and Forecasting, Springer, New York.

III.Cooray, T.M.J.A.(2006). Statistical analysis and forecasting of main agriculture output of Sri Lanka: rule-based approach. Appeared In10th International Symposium, 221, 1–9. Sabaragamuwa University of Sri Lanka.

IV.Clements, M. and Hendry, D. (1998). Forecasting economic time series, United University Press, Cambridge.

V.Gourieroux, C. and Monfort, A.(1997).Time Series and dynamic Models, Cambridge University Press, England.

VI.Gujarati, D. N.(2004). Basic Econometrics, 4th ed., McGraw Hill, New York.

VII.Hossain, M.Z., Samad, Q.A. & Ali, M.Z. (2006). ARIMA model and forecasting with three types of pulse prices in Bangladesh: A case study. International Journal of Social Economies. 33, 344–353.

VIII.Jonathan, D. C. & Kung-Sik, C.() Time Series Analysis with Application in R , 2nd ed., Spring Steet, New York.

IX.Saeed N., Saeed A., Zakria M. & Bajwa, T. M. (2000).Forecasting of Wheat Production in Pakistan using Arima Models, International Journal of Agriculture & Biology, 1560–8530, 02,4,352–353.

X.Makridakis, S.(2003). Forecasting Method and Application, 3rd ed., John Wiley and Sons, New York.

XI.Montgomery, D. C.(1990). Forecasting and Time Series Analysis”, 2nd ed., McGRAW-Hill, Inc, New York.

XII.Nochai, R. & Nochai, T. (2006). ARIMA Model for Forecasting Oil Palm Price: 2nd IMT-GT Regional Conference on Mathematics, Statistic and Applications. University Sains Malaysia, Penang, June 13-15.

XIII.Prindyck, R. S. & Rubinfeld, D. L. (1981). Economic Models and Economic Forecasts, 3rd ed., McGrsw-Hill, Inc, New York.

XIV.Shukla, M. & S. Jharkharia.(2011). Applicability of ARIMA models in wholesale vegetable market: An investigation. Proceedings of the 2011International Conference on Industrial Engineering and OperationsManagement. Kuala Lumpur, Malaysia, January 22-24.

XV.Wankhade, R., Mahalle, S., Gajbhiye, S. & Bodade, V.M. ( 2010). Use of the ARIMA model for forecasting pigeon pea production in India. International Review Of Business Finance, 2, 97–102.

XVI.Thorne, B. & Carlson W. (2007). Statistics for Business and Economics, 6th ed., Arrangement with Pearson Education, Inc. and Dorling Kindersley publishing, Inc., New Delhi.

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Abstract:

In this paper, we have studied some properties of ideals and filters of a join-semilattice. We have also introduced the notion of dual annihilator. We have discussed 1-distributive join-semilattice and given several characterizations of 1-distributive join-semilattices directed below. Finally we have included a generalization of prime separation theorem in terms of dual annihilators.

Keywords:

ideals,join-semilattice,1-distributive lattice ,dual annihilator,

Refference:

I. Balasubramani, P. and Venkatanarasimhan, P. V., Characterizations of the 0-Distributive Lattice, Indian J. pure appl. Math. 32(3) 315-324, (2001).

II. Gratzer, G., Lattice Theory, First Concepts and Distributive Lattices, San Francisco W.H. Freeman, (1971).

III. Noor, A. S. A. and Talukder, M. R., Isomorphism theorem for standard ideals of a join semilattice directed below, Southeast Asian. Bull. Of Math. 32, 489-495 (2008).

IV. Pawar, Y.S.andThakare, N. K., 0-Distributive Semilattices, Canad. Math. Bull. Vol. 21(4), 469-475 (1978).

V. Talukder, M. R.andNoor,A. S. A., Standard ideals of a joinsemilatticedirected below. Southeast AsianBull. Of Math.22, 135-139 (1997).

VI. Talukder, M. R and Noor, A. S. A.,Modular ideals of a join semilattice directed below Southeast Asian Bull.of Math. 23, 18-37 (1998).

VII. Varlet, J. C., Distributive semilattices and Boolean Lattices, Bull. Soc. Roy. Liege, 41, 5-10 (1972).

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Abstract:

In this paper, we present a novel method of path optimization using box pushing method and implementing ABC algorithm in combination with NSGAII Algorithm to achieve optimization. Here, in this case a Multi-Objective Function Optimization is carried out using Bees Colony Optimization and NSGAII Algorithm.

Keywords:

boxpushing,ABC algorithm,NSGAII,BeesColonyOptimization,

Refference:

I.Chakrabarty J., Konar A., Nagar A., Das S., “Rotation and translation selective Pareto optimal solution to the box-pushing problem by mobile robots using NSGA-II” IEEE CEC 2009

II. Karaboga Dervis, An Idea Based on Honey Bee Swarm for Numerical Optimization, Technical Report-TR06, October, 2005

III. Karaboga D., Basturk B., On the Performance of Artificial Bee Colony Algorithm, received in revised form 9 January 2007; accepted 30 May 2007

IV. Alatas Bilal, Chaotic Bee Colony Algorithm for Global Numerical Optimization

V. Deb K., Agarwal A. P. S., and Meyarivan T., “A fast and elitist multiobjective genetic Algorithm: NSGAII”

VI. Kube C. R., and Zhang H., “The use of perceptual cues in multi-robot box pushing,” in IEEE International Conference on Robotics and Automation, 1996, vol. 3, pp. 2085-2090

VII. Yamada S., and Saito J., “Adaptive action selection without explicit communication for multi-robot box-pushing,” in IEEE International Conference on Intelligent Robots and Systems, 1999, pp. 1444 -1449.

VIII.Chakraborty J., Konar A., Nagar A., Tawfik H., “A multi-objective Pareto-optimal solution to the box-pushing problem by mobile robots,” Second UKSIM European Symposium on Computer Modeling and Simulation, pp.70-75, 2008.

IX. Mataric M. J., Nilsson M., and Simsarian K. T., “Cooperative multirobot box-pushing,”In IEEE International Conference on Intelligent Robots and Systems, 1995, vol. 3, pp.556-561.

X. Parker L.E., Tang F. , “Building multi-robot coalitions through automated task solution synthesis” Proceedings of IEEE Vol.94, No.7,July 2006.

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Abstract:

Recently Yehuda Rav has given the concept of Semi-prime ideals in a general lattice by generalizing the notion of 0-distributive lattices. In this paper we study several properties of these ideals and include some of their characterizations. We give some results regarding maximal filters and include a number of Separation properties in a general lattice with respect to the annihilator ideals containing a semi-prime ideal.

Keywords:

semi-prime ideals,0-distributive lattices,annihilator ideals,

Refference:

I. Balasubramani P. and Venkatanarasimhan P.V., Characterizations of the 0-Distributive Lattices, Indian J. pure appl.Math. 32(3) 315-324, (2001).

II. Powar Y.S. and Thakare N. K., 0-Distributive semilattices, Canad. Math. Bull. Vol.21(4) (1978), 469-475.

III. Rav Y., Semi prime ideals in general lattices, Journal of pure and Applied Algebra, 56(1989) 105- 118.

IV. Varlet J. C., A generalization of the notion of pseudo-complementedness, Bull. Soc. Sci. Liege, 37(1968), 149-158.

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