[논문]Dynamic Response Analysis of Rotating Composite-VEM Thin-Walled Beams Incorporating Viscoelastic Materials in the Time Domain

Na Sung-Soo; Park Jae-Yong; Park Chul-H.; Kwak Moon-K.; Shim Jae-Hong

doi:10.1007/bf02916013

Dynamic Response Analysis of Rotating Composite-VEM Thin-Walled Beams Incorporating Viscoelastic Materials in the Time Domain 원문보기

Journal of mechanical science and technology, v.20 no.8, 2006년, pp.1139 - 1148

Na Sung-Soo (Department of Mechanical Engineering, Korea University) , Park Jae-Yong (Department of Mechanical Engineering, Korea University) , Park Chul-H. (Department of Mechanical Engineering, Pohang University of Science and Technology) , Kwak Moon-K. (Department of Mechanical Engineering, Dongguk University) , Shim Jae-Hong (Department of Mechatronics Engineering, Korea Polytechnic University)

Abstract ▼ AI-Helper

This paper addresses the analytical modeling and dynamic response of the advanced composite rotating blade modeled as thin-walled beams and incorporating viscoelastic material. The blade model incorporates non-classical features such as anisotropy, transverse shear, rotary inertia and includes the centrifugal and coriolis force fields. The dual technology including structural tailoring and passive damping technology is implemented in order to enhance the vibrational characteristics of the blade. Whereas structural tailoring methodology uses the directionality properties of advanced composite materials, the passive material technology exploits the damping capabilities of viscoelastic material (VEM) embedded into the host structure. The VEM layer damping treatment is modeled by using the Golla-Hughes-McTavish (GHM) method, which is employed to account for the frequency-dependent characteristics of the VEM. The case of VEM spread over the entire span of the structure is considered. The displayed numerical results provide a comprehensive picture of the synergistic implications of both techniques, namely, the tailoring and damping technology on the dynamic response of a rotating thin-walled b ε am exposed to external time-dependent excitations.

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문제 정의

In this paper, a study of free and forced vibration in both the in-plane (lagging) and transverse to the plane of rotation (flapping) of rotating beams is addressed. Moreover, by incorporating the capability referred to as viscoelastic induced damping scheme control of coupled flappinglagging vibration is carried out.

가설 설정

(c) rotary inertia, (d) the beam cross-sections feature a symmetric biconvex profile, while VEM layer is assumed to be isotropic material. Its geometric configuration and the typical cross-section along with the associated system of coordinates are presented in Fig.

제안 방법

(1959), DiTaranto (1965), and Mead and Markus (1969). They presented the fourth and sixth-order theories for beams and plates to predict damping and handled the cases with arbitrary boundary conditions. The governing equations of flexural vibration of symmetrical sandwich rectangular plate were presented by Mead and Markus (1969).

대상 데이터

The beam consisted of an aluminum base beam, with a layer of 3M ISD 112 viscoelastic material, followed by an aluminum constrained layer. It is assumed that the shear strains in the constrained layer and in the base beam are negligible.

이론/모형

Whereas structural tailoring methodology uses the directionality properties of advanced composite materials, the passive materials technology exploits the damping capabilities of viscoelastic material (VEM) embedded into the host structure. The VEM layer damping treatment is modeled by using the Golla-Hughes-McTavish (GHM) method. The case of VEM spread over the entire span of the structure is considered.
GHM model introduces hysteretic damping by adding additional ''dissipation coordinates" to the system to achieve a linear non-hysteretic model providing the same damping properties. The dissipation coordinates are used with a standard finite element approach or, as in this work, with assumed modes method. The derivation of the GHM equations starts with the constitutive relation for a one dimensional stressstrain system using the theory of linear viscoelasticity.

성능/효과

The displayed numerical results provide a comprehensive picture of the synergistic implications of the application of both techniques, namely, the tailoring and damping technology on dynamic response of rotating thinwalled beam exposed to external time-dependent excitations. The obtained results reveal that via this control capability it is possible to tune conveniently the eigenfrequencies of the system, and consequently to modify in a beneficial and predictable way the dynamic response characteristics of the structure. It is also believed that this control capability can play a major role in enhancing the fatigue life of the structural booms for space missions, helicopter rotor blade as well as of tiltrotor aircraft.
is preserved, ii) the transverse shear effects are taken into account, ⅲ) the circumferential stress resultant NSs (i.e., the hoop stress resultant) is negligibly small when compared to the remaining ones, ⅳ) the case of a bi-convex beam crosssection profile is adopted. In accordance with the above assumptions and in order to reduce the 3-D problem to an equivalent 1-D, the components of the displacement vector in the composite host structure are expressed as

참고문헌 (13)

DiTaranto R. A., 1965, 'Theory of Vibratory Bending for Elastic and Viscoelastic Layered Finite-Length Beams,' ASME Journal of Applied Mechanics, Vol. 32, pp. 881-886

상세보기
Hyer, M. W., 1997, 'Stress Analysis of FiberReinforced Composote Materials,' WCB McGraw-Hill
Kerwin, E. M., 1959, 'Damping of Flexural Waves by a Constrained Viscoelastic Layer,' Journal of the Acoustical Society of America, Vol. 31 pp. 952-962

상세보기
Lam, M. J., Inman, D. J. and Saunders, W. R., 1997, 'Vibration Control through Passive Constrained Layer Damping and Active Control,' Journal of Intelligent Material System and Structures, Vol. 8, pp. 663-677

상세보기
McTavish, D. J. and Hughes, P. C, 1992, 'Finite Element Modeling of Linear Viscoelastic Structures: the GHM Method,' AIAA-92-2380, pp.1753-1763
Mead, D. J. and Markus, S., 1969, 'The Force Vibration of a Three Layer Damped Sandwich Beam with Arbitrary Boundary Conditions,' Journal of Sound and Vibration, Vol. 10, pp. 163-175

상세보기
Oh, S., Song, O. and Librescu, L., 2003, 'Effect of Pretwist and Presetting on Coupled Bending Vibrations of Rotating Thin-walled Composite Beams,' International Journal of Solids and Structures 40, pp. 1203-1224

상세보기
Park, C. H., Ahn, S. J., Park, H. and Na, S., 2005, 'Modeling of a Hybrid Passive Damping System,' Journal of Mechanical Science and Technology, 19(1), pp. 127-135

상세보기
Park, C., Kim, W. and Yang, B.,1998, 'Vibration Analysis of Three Layer Sandwich Beam,' Journal of KSNVE, Vol. 8, pp. 157-170
Rao, YVKS and Nakra, B. C., 1974, 'Vibrations of Unsymmetrical Sandwich Beams and Plates with Viscoelastic Cores,' Journal of Sound and Vibration, Vol. 34, pp. 309-326

상세보기
Ready, J. N., 1997, Mechanics of Laminated Composite Plates, Theory and Analysis, CRC Press
Ross, D., Ungar, E. and Kerwin, E., 1959, 'Flexural Vibrations by Means of Viscoelastic Laminate,' ASME Structure Damping, pp.48-87
Shim, J. K. and Na, S. S., 2003, 'Modeling and Vibration Feedback Control of Rotating Tapered Composite Thin-Walled Blade,' KSME International Journal, Vol. 17, No.3, pp. 380-390

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Dynamic Response Analysis of Rotating Composite-VEM Thin-Walled Beams Incorporating Viscoelastic Materials in the Time Domain 원문보기

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Dynamic Response Analysis of Rotating Composite-VEM Thin-Walled Beams Incorporating Viscoelastic Materials in the Time Domain 원문보기

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