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  • 1
    Electronic Resource
    Electronic Resource
    Exact piezothermoelastic solution of simply-supported orthotropic circular cylindrical panel in cylindrical bending (1996)
    Springer
    Archive of applied mechanics 66 (1996), S. 537-554 
    Details
    ISSN: 1432-0681
    Keywords: Key words piezothermoelasticity ; orthotropy ; polarization ; panel ; bending ; inverse problem
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary  This work presents an exact piezothermoelastic solution of infinitely long, simply supported, cylindrically orthotropic, piezoelectric, radially polarised, circular cylindrical shell panel in cylindrical bending under thermal and electrostatic excitation. The general solution of the governing differential equations is obtained by separation of variables. The displacements, electric potential and temperature are expanded in appropriate Fourier series in the circumferential coordinate to satisfy the boundary conditions at the simply-supported longitudinal edges. The governing equations reduce to Euler-Cauchy type of ordinary differential equations. Their general solution involves six constants for each Fourier component. These are solved from the algebraic equations obtained by satisfying the boundary conditions at the lateral surfaces. The solution of the inverse problem of inferring the applied temperature field from the given measured distribution of electrical potential difference between the lateral surfaces of the shell has also been presented. Numerical results are presented for typical thermal and electrostatic loadings for various values of radius to thickness ratio.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00808143
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Three-dimensional solution for a hybrid cylindrical shell under axisymmetric thermoelectric load (1997)
    Springer
    Archive of applied mechanics 67 (1997), S. 320-330 
    Details
    ISSN: 1432-0681
    Keywords: Key words piezothermoelasticity ; cylindrical shell ; exact solution ; laminate ; axisymmetry ; cross-ply.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary An exact axisymmetric piezothermoelastic solution is presented for a simply-supported hybrid cylindrical shell made of cross-ply composite laminate and piezoelectric layers. Numerical results for hybrid shells are presented for sinusoidal and central band thermal and electrical loads. The effect of the loading, the radius-to-thickness ratio, the span-to-radius ratio and the number of layers of the substrate on the response is investigated. The interface between the substrate and the actuated piezoelectric layer has been found to be subjected to high shear stress. It has been shown that the maximum values of the deflection and the stresses, due to thermal load, can be appreciably reduced by appropriate application of actuation potential.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004190050120
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Exact piezothermoelastic solution of simply-supported orthotropic circular cylindrical panel in cylindrical bending (1996)
    Springer
    Archive of applied mechanics 66 (1996), S. 537-554 
    Details
    ISSN: 1432-0681
    Keywords: piezothermoelasticity ; orthotropy ; polarization ; panel ; bending ; inverse problem
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary This work presents an exact piezothermoelastic solution of infinitely long, simply supported, cylindrically orthotropic, piezoelectric, radially polarised, circular cylindrical shell panel in cylindrical bending under thermal and electrostatic excitation. The general solution of the governing differential equations is obtained by separation of variables. The displacements, electric potential and temperature are expanded in appropriate Fourier series in the circumferential coordinate to satisfy the boundary conditions at the simply-supported longitudinal edges. The governing equations reduce to Euler-Cauchy type of ordinary differential equations. Their general solution involves six constants for each Fourier component. These are solved from the algebraic equations obtained by satisfying the boundary conditions at the lateral surfaces. The solution of the inverse problem of inferring the applied temperature field from the given measured distribution of electrical potential difference between the lateral surfaces of the shell has also been presented. Numerical results are presented for typical thermal and electrostatic loadings for various values of radius to thickness ratio.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00808143
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    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    An exact axisymmetric solution for a simply supported piezoelectric cylindrical shell (1997)
    Springer
    Archive of applied mechanics 67 (1997), S. 260-273 
    Details
    ISSN: 1432-0681
    Keywords: Key words piezothermoelasticity ; cylindrical shell ; piezoelectric ; axisymmetry.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary Three-dimensional axisymmetric solution is presented for a simply supported piezoelectric cylindrical shell. The variables are expanded in Fourier series to satisfy the boundary conditions at the ends. The solution of the governing differential equations with variable coefficients is constructed as a product of an exponential function and a power series. The coefficients of terms of all degrees in the governing equations are set to zero, yielding a characteristic equation for the exponent and recursive relations for the coefficients of the power series. Results are presented illustrating the effect of thickness parameter of the shell. An inverse problem of inferring the applied temperature from the measured potential difference has been solved.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004190050116
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Nonlinear response of orthotropic thick shallow conical springs (1985)
    Springer
    Archive of applied mechanics 55 (1985), S. 277-284 
    Details
    ISSN: 1432-0681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Übersicht In dieser Arbeit werden die nichtlinearen Kennlinien von orthotropen, dicken, flachen Tellerfedern untersucht. Die dem Problem zugrunde liegenden Gleichungen vom Marguerre-Typ schließen den Effekt der Schubdeformation ein und werden mit Hilfe der Auslenkung ω, des Schubwinkels φ und einer Spannungsfunktion ψ formuliert. Diese Größen werden in Potenzreihen entwickelt, und mit dem Kollokationsverfahren ergeben sich diskretisierte Gleichungen. Der Einfluß des Verhältnisses von Dicke zu Radius sowie der Einfluß von Orthotropieparametern und Randbedingungen wird untersucht.
    Notes: Summary This study deals with the geometrically nonlinear axisymmetric deflection characteristics of orthotropic thick shallow truncated conical springs. Marguerre type governing equations including the effect of shear deformation have been formulated in terms of normal displacement ω, shear rotation φ and stress function ψ. Polynmial approximations are used for these field variables and the discretised equations are obtained using the orthogonal point collocation method. The influence of thickness-to-radius ratio, orthotropic parameter and edge conditions has been investigated. Significant influence of shear deformation on the response is found for moderately thick high-modulus composite clamped caps. Its effect is less pronounced for simply-supported caps.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00538222
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    Damped response of thin plates to step loads including geometric nonlinearity (1988)
    Springer
    Archive of applied mechanics 58 (1988), S. 81-88 
    Details
    ISSN: 1432-0681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Übersicht Eine Näherungslösung für große Durchsenkungen von dünnen, isotropen Kreisund Rechteckplatten wird hier beschrieben, wobei die Randbedingungen einer gelenkigen bzw. festen Lagerung mit Beweglichkeit oder Fesselung in der Plattenebene behandelt werden. Ausgedrückt durch die Durchsenkung und die Spannungsfunktion ergeben sich Grundgleichungen des von Kármán-Typs. Die Durchsenkung wird als Produktansatz einer Biegeform und Zeitfunktion approximiert und Galerkins Methode angewandt, um eine gewöhnliche Differentialgleichung für die Durchsenkung der Plattenmitte zu erhalten. Diese Gleichung wird mit Hilfe von Newmarks β-Methode gelöst. Vergleiche mit zugänglichen Ergebnissen zeigen, daß mit hiesigem Vorgehen eine ingenieurmäßig zufriedenstellende Genauigkeit erzielt wird.
    Notes: Summary This paper presents an approximate solution of the large deflection damped response of thin isotropic circular and rectangular plates subjected to step loads. Simply-supported and clamped plates with movable and immovable inplane conditions are considered. Von Kármán-type equations are employed in terms of the transverse deflection and the stress function. The deflection is approximated by a one-term spatial shape function and Galerkin's method is used to obtain the differential equation for the central deflection. This equation is solved by the Newmark-β scheme. Comparison with available results has demonstrated that satisfactory engineering accuracy is achieved by the present method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00536226
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    Paper (German National Licenses)
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  • 7
    Electronic Resource
    Electronic Resource
    Nonlinear axisymmetric static and transient analysis of orthotropic thick annular plates (1985)
    Springer
    Archive of applied mechanics 55 (1985), S. 413-420 
    Details
    ISSN: 1432-0681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Übersicht Es wird das geometrisch nichtlineare, axialsymmetrische Verhalten orthotroper Kreisring-platten unter gleichmäßig bzw. ringförmig verteilten Lasten untersucht. Eingespannte und gelenkig gelagerte Platten mit oder ohne starrem Pfropfen unter statischer oder dynamischer Belastung werden behandelt, wobei Schubdeformation und Drehträgheit berücksichtigt werden. Eine Kollokationsmethode und das Newmarksche β-Schema werden angewendet, um die Differentialgleichungen für die Durchbiegung ω, die Verdrehung φ und die Spannungsfunktion ψ zu lösen.
    Notes: Summary This paper deals with the geometrically nonlinear axisymmetric static and transient response of moderately thick cylindrically orthotropic circular plates subjected to uniformly distributed and ring loads. Immovable clamped and simply supported annular plates with and without a rigid plug subjected to static and step function loads have been considered. Shear deformation and rotary inertia have been included. Orthogonal point collocation method and Newmark-β scheme have been employed to solve the differential equations expressed in terms of transverse displacement ω, shear rotation φ and stress function ψ. The effect of transverse shear has been investigated for isotropic and orthotropic plates. A simple approximate method has also been used to predict the maximum dynamic response to step loads from the results for static loads.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00537648
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    Paper (German National Licenses)
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  • 8
    Electronic Resource
    Electronic Resource
    Axisymmetric static and dynamic buckling of orthotropic shallow spherical caps with flexible supports (1984)
    Springer
    Acta mechanica 52 (1984), S. 93-106 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary This investigation deals with the static and dynamic axisymmetric buckling of elastic orthotropic thin shallow spherical shells with elastically restrained edge for inplane and rotational displacements. Governing equations in terms of normal displacementw and stress function ψ have been employed. Orthogonal point collocation method is used for spatial discretisation and Newmark-β scheme is used for time-marching. The uniformly distributed static and step function conservative loadings normal to the underformed surface are considered. The present results are in good agreement with the available results. The influence of orthotropicity parameter β and the support stiffness parameters on the static and dynamic buckling loads has been investigated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01175967
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    Paper (German National Licenses)
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  • 9
    Electronic Resource
    Electronic Resource
    Nonlinear axisymmetric response of orthotropic thin truncated conical and spherical caps (1986)
    Springer
    Acta mechanica 60 (1986), S. 121-132 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary An approximate analytical solution of the large deflection axisymmetric response of polar orthotropic thin truncated conical and spherical shallow caps is presented. Donnell type equations are employed. The deflection is approximated by a one term mode shape satisfying the boundary conditions. The Galerkin's method is used to get the governing equation for the deflection at the hole. Nonlinear free vibration response and the response under uniformly distributed static and step function loads are obtained. The effect of various parameters is investigated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01302946
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    Paper (German National Licenses)
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  • 10
    Electronic Resource
    Electronic Resource
    Axisymmetric postbuckling of orthotropic thick annular plates (1985)
    Springer
    Acta mechanica 56 (1985), S. 229-242 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary This study deals with the geometrically nonlinear postbuckling response of cylindrically orthotropic thick annular plates subjected to inplane radial compressive load at the outer edge. Clamped and simply supported plates with a free hole and a plugged hole have been considered. Governing differential equations are expressed in terms of transverse displacementw, shear rotation Φ and stress function Ψ. Polynomial expansions are employed for these three field variables and the orthogonal point collocation method has been used to obtain the discretised equations. Buckling loads have been determined by solving a linear eigen-value problem using the method of inverse iterations. Postbuckling loads for different central deflections have been obtained by solving the nonlinear differential equations. The effect of thickness ratio, orthotropic parameter, annular ratio and the edge conditions has been investigated. The effect of shear deformation on the buckling loads increases with the orthotropic parameter β and the thickness-to-radius ratio.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01177120
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    Paper (German National Licenses)
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