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Nonlinear hydroelastic behavior of propellers using a finite-element method and lifting surface theory

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Abstract

A finite-element method coupled with analysis of a noncavitating lifting surface was used to assess the performance of a marine propeller, including the thrust, torque, efficiency coefficients, and deflections. The formulation used displacements as unknowns in the structural part and the strength of the vortex as unknowns in the fluid part. A coupled matrix derived from the Bernoulli equation and hydrostatic pressure in terms of the strength, of the vortex enforced coupling between the fluid and the structure. The resulting matrix equation was unsymmetric and nonlinear; a Newton-Raphson procedure was used to solve this equation. The numerical results were compared with test data; computed and measured values agreed satisfactorily. We also investigated the effect of blade thickness on the performance and strength of the propeller. We did not consider the fatigue strengh of the propeller in this analysis.

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Abbreviations

a :

length of plate

b :

width of plate or beam

C :

chord length of propeller section

D :

diameter of propeller

E :

young’s modulus

h :

thickness of plate or beam

I :

section modulus of beam

J :

advance coefficient (V a /nD)

K T :

thrust coefficient (T/ρn 2 D 4)

K Q :

torque coefficient (Q/ρn 2 D 5)

L :

length of beam

n :

rotational speed of propeller

P :

pitch of propeller

r :

radial coordinate

R :

radius of propeller

1/R Y :

curvature of plate

q :

density of distribution load

Q :

torque moment of propeller

T :

thrust force of propeller

u 1 :

displacement alongX axis

u 2 :

displacement alongY axis

u 3 :

displacement alongZ axis

V a :

advance speed of ship

W :

central deflection of plate or tip deflection of beam

Ω:

rotation speed, Ω={Ω x , Ω y , Ω x }

θ:

angle of attack (between 0° and 90°)

ω0 :

fundamental natural frequency

η0 :

efficiency (TV a /2nπQ)

ρ:

density of flow

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Authors and Affiliations

  1. Department of Naval Architecture and Ocean Engineering, National Taiwan University, 73 Chow-Shan Road, Taipei, Taiwan

    Huei-Jeng Lin & Jiunn-Jyi Lin

Authors
  1. Huei-Jeng Lin
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  2. Jiunn-Jyi Lin
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Lin, HJ., Lin, JJ. Nonlinear hydroelastic behavior of propellers using a finite-element method and lifting surface theory. J Mar Sci Technol 1, 114–124 (1996). https://doi.org/10.1007/BF02391167

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  • DOI: https://doi.org/10.1007/BF02391167

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