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  • Engineering
  • 1970-1974  (489)
  • 1
    Electronic Resource
    Electronic Resource
    A characterization of stiffly stable linear multistep methodsThis research was partially supported by the Old Dominion University Research Foundation, Old Dominion University, Norfolk, Virginia, U.S.A. (1973)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 7 (1973), S. 117-124 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A theorem expressing geometric conditions necessary and sufficient for the stiff stability of a linear multistep method is obtained. A corollary to this theorem provides sufficient conditions for stiff stability, for the class of algorithms characterized by a single essential root. By applying the Schur-Cohn criterion and employing a computerized algebraic manipulation program, the result provides a first step towards an exhaustive search technique for determining a continuum of members of this class.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620070203
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  • 2
    Electronic Resource
    Electronic Resource
    A compact Fortran sequence for limit analysis (1973)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 5 (1973), S. 446-449 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This note presents a FORTRAN sequence for solving a particular case of the ‘bounded variables’ problem.1 It is this problem, rather than the standard linear programming problem, which appears when systematic matrix methods are applied to the rigid-plastic collapse analysis of a plane frame or truss The method uses considerably less storage than a standard simplex approach, and produces the collapse mode as a by-product of the calculation. The sequence is part of a complete program for the plastic collapse analysis of frameworks, details of which may be obtained from the author.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620050313
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  • 3
    Electronic Resource
    Electronic Resource
    A comparison of first and second order axially symmetric finite elements (1973)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 5 (1973), S. 573-583 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An attempt is made to evaluate the relative merits of first and second order triangular elements in axially symmetric elastostatic stress analysis. The presented results should be of value to those requiring comparison data. Typical stresses, displacements and computer times are presented for three specific numerical examples. Where available, the elasticity solution is used to evaluate the accuracy of computed results. Comparisons indicate that for the same nodal point configuration, the second order solutions are generally better than the corresponding first order solutions, even though the latter involve many more elements. Furthermore, the second order elements may lead to improved results even when fewer nodal points are used. Finally, computer times seem to be higher for the first order solutions and the numerical effort required to obtain comparable accuracy is much greater for the first order solutions.
    Additional Material: 19 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620050413
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  • 4
    Electronic Resource
    Electronic Resource
    A computational method for optimal structural design. I. Piecewise uniform structures (1972)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 5 (1972), S. 171-184 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper presents a technique for the optimal design of a large class of structures arising in civil and mechanical engineering. Constraint conditions on stress level, magnitudes of elastic deformation, natural frequency and buckling load are admitted. A computational method is developed, which takes advantage of special features of the structural optimization problem. Numerical examples are solved to illustrate the applicability of the method. These problems are, in themselves, of engineering interest.
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620050204
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  • 5
    Electronic Resource
    Electronic Resource
    A computational technique-for the efficient handling of large matrices (1973)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 7 (1973), S. 85-93 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: It is well known that the finite element method leads to large square symmetric matrices which are highly banded. Even if only the half bandwidth is stored it is easy to saturate the computer storage; this is because the half bandwidth contains a large amount of zeros. This paper discusses an alternative approach where a small rectangular section of the full bandwidth is stored, this method leading to a significant reduction in storage requirements.
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620070107
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  • 6
    Electronic Resource
    Electronic Resource
    A computer program for filter design having arbitrary magnitude specifications in the frequency domain (1973)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 6 (1973), S. 275-285 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A general procedure is presented for the design of analogue or digital filters having arbitrary specifications in the frequency domain. The algorithm developed uses a simple technique for constraining the pole zero locations, for stability and minimum phase considerations, which is far more elegant than methods used by previous workers.1 This constraint procedure yields a unified approach to the design of both digital and analogue filters.The method employed is that of minimizing a square-error criterion using the Fletcher-Powell2 conjugate gradient minimization routine.The programme is written in FORTRAN IV double precision complex arithmetic.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620060212
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  • 7
    Electronic Resource
    Electronic Resource
    A computer program to find analytical solutions of second order linear differential equations (1973)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 6 (1973), S. 603-606 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620060420
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  • 8
    Electronic Resource
    Electronic Resource
    A conforming finite element with internal equilibrium for two-dimensional problemsCrown Copyright, reproduced by permission of the Controller of Her Majesty's Stationery Office. This is the first publication of this article, but since the author is a British Civil Servant his work is covered by Crown Copyright. (1972)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 4 (1972), S. 367-378 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A method is presented for the derivation of displacement fields which satisfy compatibility of normal slopes at inter-element boundaries and the condition of internal equilibrium. The displacement field is obtained by integrating the governing partial differential equation over the element, using the initial value approach. The method is applied to calculate the stiffness matrix of a triangular bending element with nine degrees of freedom. Comparison with published solutions based on various element models shows a high degree of accuracy and convergence of the method. The advantage of internal equilibrium is illustrated by an example involving slab-column interaction. The solution correlates satisfactorily with existing experimental results.
    Additional Material: 11 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620040307
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  • 9
    Electronic Resource
    Electronic Resource
    A conforming triangular finite element plate bending solution (1970)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 2 (1970), S. 259-264 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A conforming plate bending solution using simple polynomial deflection functions of third-degree inside each triangular element is presented. In order to avoid normal slope discontinuities along the sides of the elements, the plate displacement parameters are subjected to ‘slope continuity conditions’ acting as constraints to the minimum potential energy problem. This is then solved by the classical method of Lagrange introducing multipliers as new auxiliary variables. If a special variational formulation of the problem is used, it can be shown that the Lagrangean multipliers are generalized stress parameters. The suggested solution is therefore basically a ‘mixed’ solution, the unknown variables of the problem being both displacement and stress parameters. Several numerical results are presented.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620020211
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  • 10
    Electronic Resource
    Electronic Resource
    A convergent method for cyclic plasticity analysis with application to nuclear components (1973)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 6 (1973), S. 227-236 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A new method for elastic-plastic analysis of pressure vessels subject to cyclic mechanical and thermal loading is proposed. The method is shown to lead to a highly convergent solution when applied in conjunction with Prager's complete kinematic hardening rule. The plastic strain increments are written in terms of the total strains, thus leading to a consistent formulation when the analysis is done by an incremental iterative process.The proposed method is applied to the analysis of a long cylinder in the state of generalized plane strain and subject to cyclic loading. Cyclic plasticity and creep are considered in one of the problems analysed. The finite difference method is used in the solution of the compatibility and equilibrium equations. It is shown that the computation time using the proposed method is very small compared to other techniques.
    Additional Material: 8 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620060208
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