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  • 1
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 233-248 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A finite element technique is used to determine the natural frequencies and the mode shapes of a cantilever plate mounted on the periphery of a rotating disc. The plane of the plate is assumed to make any arbitrary angle with the plane of rotation of the disc. The distributed centrifugal force is resolved into two components - one acting in the plane of the plate and the other normal to the plate. The stresses produced in the middle surface of the plate due to the in-plane forces are first determined. The increase in the bending stiffness of the plate elements due to these in-plane stresses is obtained in a manner similar to that used in the stability analysis of plates. The component of the distributed centrifugal force normal to the plate surface is added to the inertia force.From the results of computations carried out for various values of the aspect ratio, the speed of rotation, the disc radius and the setting angle, empirical formulae are derived giving the effect of these parameters on the natural frequencies. These empirical formulae are observed to be in agreement with the corresponding known formulae for rotating cantilever beams, when the aspect ratio is high.
    Additional Material: 8 Ill.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 15 (1980), S. 649-660 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A plasticity theory for porous metals is proposed. A simple model of a porous materials is analysed by the finite element method. Small strain elastic-plastic analysis provides stress-strain curves, yield stressed and incremental plastic strain vectors for different void ratios. An assessment is made of an existing yield criterion for porous metals. A modified yield criterion and plastic potential function and, consequently, different plasticity equations are given. Reasonable agreement is obtained between the present numerical results and previous results in the literature.
    Additional Material: 10 Ill.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 20 (1984), S. 887-914 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A concise survey of formulation methods of geometric and material nonlinearity problems is given. Differences between existing formulations in the literature are discussed. A consistent Lagrangian and updated Lagrangian formulations are derived from the energy balance equation transformed to the proper reference configuration. Differences between the existing formulations and similar ones in the literature are found to be in specific geometric nonlinear terms in the final incremental equation as well as in the definition of the load increment vector. Specific forms of constitutive equations for elastic and elastoplastic materials are presented. Some of the forms used by other authors in application to elastoplastic materials are shown to be inconsistent. Sample numerical examples intended for checking some particular points in the formulation are presented.
    Additional Material: 8 Ill.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Experimental mechanics 10 (1970), S. 353-361 
    ISSN: 1741-2765
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract This paper has the general objectives of relating analytical and experimental techniques for analysis of indeterminate spatial frames under dynamic loading. The model used has been made as general as possible to explore validity for nonstereotyped configurations. A highly redundant oblique four-bar space frame was selected having a lowest natural frequency of 42.1 cps. Recent success of the finite-element-matrix method and progress in the field of nonlinear optimization provides a rational basis for the synthesis of space frames; however, the validity of the discretization, both for strength-stiffness analysis and dynamic analysis, has not been explored for this type of configuration. The flexibility influence coefficients, the natural frequencies and the steady-state vibration amplitudes were experimentally determined and compared with theoretical values. Influence coefficients had an “error” of between four and 10 percent; the six lowest natural frequencies were in agreement within 15 percent when rotary inertia was considered. Steady-state amplitudes were in good agreement at frequencies not too close to resonance.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Experimental mechanics 10 (1970), S. 353-361 
    ISSN: 1741-2765
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract This paper has the general objectives of relating analytical and experimental techniques for analysis of indeterminate spatial frames under dynamic loading. The model used has been made as general as possible to explore validity for nonstereotyped configurations. A highly redundant oblique four-bar space frame was selected having a lowest natural frequency of 42.1 cps. Recent success of the finite-element-matrix method and progress in the field of nonlinear optimization provides a rational basis for the synthesis of space frames; however, the validity of the discretization, both for strength-stiffness analysis and dynamic analysis, has not been explored for this type of configuration. The flexibility influence coefficients, the natural frequencies and the steady-state vibration amplitudes were experimentally determined and compared with theoretical values. Influence coefficients had an “error” of between four and 10 percent; the six lowest natural frequencies were in agreement within 15 percent when rotary inertia was considered. Steady-state amplitudes were in good agreement at frequencies not too close to resonance.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Experimental mechanics 11 (1971), S. 263-270 
    ISSN: 1741-2765
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Experimental and theoretical investigations have been conducted to study the transverse vibrations of a beam having nonlinear constraint. One end of the beam is fixed while the other is supported on a bilinear spring and carries a concentrated mass. Free-vibration curves, obtained for different values of the spring constants and the end mass, indicate that free periodic vibrations with frequencies which can lie within any one of an infinite number of ranges may occur. Forced harmonic response may exhibit the multiplicity of jump phenomena within the frequency ranges of free vibrations.
    Type of Medium: Electronic Resource
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