Stability of the beam under the fluid flow with exponential profile

Standard

Stability of the beam under the fluid flow with exponential profile. / Denissova, I. V.; Indeytzev, D. A.

In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, Vol. 76, No. SUPPL. 5, 1996, p. 115-116.

Research output: Contribution to journal › Article › peer-review

Harvard

Denissova, IV & Indeytzev, DA 1996, 'Stability of the beam under the fluid flow with exponential profile', ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, vol. 76, no. SUPPL. 5, pp. 115-116.

APA

Denissova, I. V., & Indeytzev, D. A. (1996). Stability of the beam under the fluid flow with exponential profile. ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 76(SUPPL. 5), 115-116.

Vancouver

Denissova IV, Indeytzev DA. Stability of the beam under the fluid flow with exponential profile. ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 1996;76(SUPPL. 5):115-116.

Author

Denissova, I. V. ; Indeytzev, D. A. / Stability of the beam under the fluid flow with exponential profile. In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 1996 ; Vol. 76, No. SUPPL. 5. pp. 115-116.

BibTeX

@article{4c41bfbf1b9f46eeb907ff20d100bbf2,

title = "Stability of the beam under the fluid flow with exponential profile",

abstract = "A method of solution of the boundary-value problem is proposed for the linearized Navier-Stokes equations in the half-plane. The Navier-Stokes system is linearized about the flow velocity vector with an exponential profile. The adhesion boundary condition is imposed at the infinite elastic beam whose deflection from the zero state is subject to the elasticity equation. The flow is supposed to be steady. After the Fourier-Laplace transform, a system with shifted argument is solved. The inverse Laplace transform leads to the dispersion equation and to the explicit solution of the initial system.",

author = "Denissova, {I. V.} and Indeytzev, {D. A.}",

year = "1996",

language = "English",

volume = "76",

pages = "115--116",

journal = "ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik",

issn = "0044-2267",

publisher = "Wiley-Blackwell",

number = "SUPPL. 5",

}

RIS

TY - JOUR

T1 - Stability of the beam under the fluid flow with exponential profile

AU - Denissova, I. V.

AU - Indeytzev, D. A.

PY - 1996

Y1 - 1996

N2 - A method of solution of the boundary-value problem is proposed for the linearized Navier-Stokes equations in the half-plane. The Navier-Stokes system is linearized about the flow velocity vector with an exponential profile. The adhesion boundary condition is imposed at the infinite elastic beam whose deflection from the zero state is subject to the elasticity equation. The flow is supposed to be steady. After the Fourier-Laplace transform, a system with shifted argument is solved. The inverse Laplace transform leads to the dispersion equation and to the explicit solution of the initial system.

AB - A method of solution of the boundary-value problem is proposed for the linearized Navier-Stokes equations in the half-plane. The Navier-Stokes system is linearized about the flow velocity vector with an exponential profile. The adhesion boundary condition is imposed at the infinite elastic beam whose deflection from the zero state is subject to the elasticity equation. The flow is supposed to be steady. After the Fourier-Laplace transform, a system with shifted argument is solved. The inverse Laplace transform leads to the dispersion equation and to the explicit solution of the initial system.

UR - http://www.scopus.com/inward/record.url?scp=33747214024&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33747214024

VL - 76

SP - 115

EP - 116

JO - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

JF - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

SN - 0044-2267

IS - SUPPL. 5

ER -

ID: 75074210