Tsutomu Yamashita’s research while affiliated with Nagasaki University and other places

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Publications (17)


Free Vibration for Twisted Thin Conical Shell Panels.
  • Article

January 1999

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10 Reads

Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

Tsuneo Tsuiji

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Akira Jitsufuchi

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Tsutomu Yamashita

A numerical method for analyzing free vibrations of twisted thin conical shell panels is presented based on the Rayleight-Ritz procedure. To this end, exact strain-displacement relationships are derived by employing the thin shell theory and the principle of virtual work for free vibrations is formulated. Algebraic polynomials are used as assumed displacement functions in the analysis. Frequency parameters are analyzed for typical conical shell panels and effects of variation of the curvature of the shell and of pretwist on them are discussed. Resonance frequencies and modes of vibration obtained experimentally are compared with analytical ones. The agreement between them is found to be quite good.


Free Vibration Studies for Thin Laminated Composite Twisted Cylindrical Panels

January 1998

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6 Reads

Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

Frequency parameters and modes of vibration are computed for thin laminated composite twisted cylindrical panels using the Rayleigh-Ritz method. Assumed displacement functions are taken to be algebraic polynomials. Comparison of frequency parameters obtained with avairable results in the literature shows that the method presented is effective for analyzing the vibration of thin laminated composite cylindrical panels. Effects of fiber orientation, sequence of laminate and initial twisted angle on the frequency parameters and modes of vibration are investigated.


Free Vibration Analysis for Composite Laminated Twisted Cantilever Thin Plates

October 1996

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17 Reads

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2 Citations

Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

A numerical method for analyzing free vibrations of composite laminated twisted cantilever thin plates is presented. The proposed method is based on the Rayleigh-Ritz procedure using algebraic polynomials as assumed displacement functions. The frequency parameters obtained are compared with previous theoretical results. Free vibrations of three-layer laminated (θ/-θ/θ) and four-layer laminated (θ/-θ/θ/-θ) plates are studied and the effect of fiber orientation and twist angle on the vibration characteristics of the plates is investigated.


Free Vibration Analysis of Rotating Thin Twisted Plates.

December 1995

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26 Reads

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7 Citations

Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

Free vibrations of rotating cantilevered thin twisted plates are investigated. First, the exact strain-displacement relationships in large deflections of thin twisted plates are derived and the principle of virtual work for free vibrations of rotating cantilevered thin twisted plates is formulated. Then, a numerical procedure based on the Rayleigh-Ritz method is proposed using algebraic polynomials as assumed displacement functions. The results of the present analysis are compared with those obtained using the finite-element method to verify the usefulness of derived equations. Finally, effects of rotation, setting angle and setting length on frequency parameters are studied for typical thin twisted plates.


Free Vibrations of Twisted Cantilevered Thin Plates Having Thickness Varying in Two Directions

September 1995

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8 Reads

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3 Citations

JSME international journal Ser C Dynamics control robotics design and manufacturing

Free vibrations of twisted cantilevered thin plates having thickness varying in two directions are investigated analytically and experimentally in this study. A numerical procedure based on the Rayleigh-Ritz method is presented using algebraic polynomials as displacement functions. To demonstrate the procedure, nondimensional frequency parameters and mode shapes are analyzed for typical twisted plates. The convergence of frequency parameters is studied and effects of plate thickness variation on vibrating characteristics are discussed. Experimental tests are carried out for three kinds of aluminum specimens. On the basis of comparison between experimentally obtained resonance frequencies and mode shapes and those obtained from the analysis, it appears that the numerical procedure proposed in the present study is useful for analyzing the free vibrations of twisted thin plates with variable thickness


Free Vibrations of Curved and Twisted Cantilevered Thin Plates (Analytical and Experimetal Results)

January 1994

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5 Reads

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10 Citations

Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

Free vibrations of curved and twisted cantilevered thin plates are investigated analytically and experimentally. A numerical method based on the Rayleigh-Ritz procedure is presented using algebraic polynomials as displacement functions and an approximate integration, dividing the plate into elements. Convergency studies of nondimensional frequency parameters are made with increase of the number of elements dividing the plate and of terms in the assumed functions. Then, effects of initial twist and curvature on vibrating characteristics are discussed for typical curved and twisted cantilevered plates. Finally, experimental tests are carried out and resonance frequencies and mode shapes obtained are compared with analytical results.


Free Vibrations of Twisted Plates with Thickness Varying in Two Directions

June 1993

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6 Reads

Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

In this paper, free vibrations of twisted plates with thickness varying in two directions is investigated analytically and experimentally. A numerical procedure based on the Rayleigh-Ritz method is presented. Frequency parameters and modes of vibration are analyzed for typical twisted plates and the influences of plate thickness variation are discussed. Then, the resonance frequencies and modes of vibration measured by means of holographic interferometry are compared with the analytical results for three kinds of test specimens. Comparison reveals that the analytical results are well explained the experimental and the proposed method is useful for analyzing the free vibrations of twisted plates with variable thickness.


Free Vibrations of Pre-twisted Cantilevered Trapezoidal Plates

June 1988

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6 Reads

Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

In this paper, a method based on the Rayleigh-Ritz method is developed for calculating frequency parameters and modes of vibration of pre-twisted cantilevered trapezoidal plates. The double integrals of the strain and the inertia energies are evaluated approximately by the single integrals along the edges of elements, into which the plate is divided. The method is then applied for the typical pre-twisted cantilevered trapezoidal plates. The frequency parameters and the corresponding modes of vibration are analyzed. The results show that the pre-twist of the plate has considerable influences on the frequency parameters except for those of the first bending mode.


Free vibrations of thin-walled pretwisted beams under axial loading. 2nd Report. Coupled torsional-longitudinal vibrations of rotating cantilever beams with tapered rectangular sections.

February 1987

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1 Read

Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

This paper deals with coupled torsional-longitudinal vibrations of rotating pretwisted cantilever beams with tapered rectangular cross-sections. The Rayleigh-Ritz method is used to obtain pseudo-static torsional deformations, stresses due to rotation and characteristic parameters of vibration. The influences of pretwisted angles, width or depth tapers of cross-section, speeds of rotation and pseudo-static torsional deformations on the characteristic parameters are investigated. The results show that these parameters have a considerable influence on the coupled torsional-longitudinal vibration of the beams.


A Free Vibration Analysis of Plates by the Rayleigh-Ritz Method Using Lagrange Hultipliens

October 1985

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31 Reads

Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

A method of analyzing free vibrations of plates with arbitrary shape and boundary conditions is proposed in this report. The procedure presented is based on the Rayleigh-Ritz method using Lagrange multipliers. The deflection of plate is expressed by a double power series of x and y. Since this function, in general, does not satisfy geometrical boundary conditions, the Lagrange multiplier method is applied t fullfil them. The strain and kinetic energies are evaluated by a single integral along the edge of plates. The theoretical values obtained are compared with exact values and test results. The comparison shows that the method proposed is useful to analyze the free vibration of plates with arbitrary shape and boundary conditions.


Citations (3)


... Serra (1993) used the direct variational method to derive the fundamental equation describing the buckling of a pretwisted thin column supported at its ends. Tsuiji et al. (1994) derived the differential equations governing flexural buckling of a pretwisted bar via the principle of virtual work. Steinman et al. (1995) studied a pretwisted rod in which torsional and flexural effects were decoupled, and both vibration and buckling behavior were described by a pair of fourth-order linear ordinary differential equations. ...

Reference:

Nonlinear Finite-Element Analysis of Buckling Capacity of Pretwisted Steel Bars
Free Vibrations of Curved and Twisted Cantilevered Thin Plates (Analytical and Experimetal Results)
  • Citing Article
  • January 1994

Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

... Leissa et al [11] studied cylindrical shells with chamber and twist on the shallow shell theory by Ritz method. Recently Tsuji et al [12] studied rotating thin twisted plates by the Rayleigh Ritz method.Hu and Tsuji [13] studied the rotating thin cylindrical panels with twist on general shell theory. Lo [14] in his analysis simplified the nonlinear problem by assuming the blade to be rigid everywhere except at the root presented the solution in phase plane. ...

Free Vibration Analysis of Rotating Thin Twisted Plates.
  • Citing Article
  • December 1995

Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

... It is observed from the literature that most of works have dealt the linear bending and vibration behaviour of cantilever isotropic and orthotropic un-twisted plates having variable thickness, however vibration analysis of twisted cantilever plates and panels with variable thickness is limited. Tsuiji et al. [30] studied analytically and experimentally the vibration characteristics of twisted cantilevered thin plates having linear thickness variation in two directions. The numerical procedure based on the Rayleigh-Ritz method was presented using algebraic polynomials as displacement functions. ...

Free Vibrations of Twisted Cantilevered Thin Plates Having Thickness Varying in Two Directions
  • Citing Article
  • September 1995

JSME international journal Ser C Dynamics control robotics design and manufacturing