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Experimental and numerical study on heave and pitch motion calculation of a trimaran

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Abstract

This paper investigates a calculation method for the heave and pitch motion of a trimaran, which includes direct and indirect calculation methods. In the direct calculation method, Computational Fluid Dynamics (CFD) simulation is applied to calculate trimaran motion. In the indirect calculation method, there exist three steps to achieve motion calculation: first, a standard wave spectrum is chosen to excite the wave force and moment acting on the trimaran; second, particle swarm optimization (PSO) and polynomial fitting methods are adopted to identify the function of wave force and moment; finally, the mathematical model of the trimaran is established. To compare the effectiveness of the direct and indirect methods, the model test of the trimaran is performed in a towing tank. The results of the model test proved that the direct and indirect methods are all effective for calculating the heave and pitch motions of a trimaran.

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Abbreviations

PSO:

Particle swarm optimization

\(W2F\) :

The transfer function of wave-to-force

\(W2M\) :

The transfer function of wave-to-moment

\(F2H\) :

The transfer function of force to heave

\(F2P\) :

The transfer function of force to pitch

\(M2H\) :

The transfer function of moment to heave

\(M2P\) :

The transfer function of moment to pitch

\(L\) :

Length of trimaran

\(B\) :

Beam of trimaran

\(D\) :

Depth of trimaran

\(T\) :

Draught of trimaran

VOF:

Volume of fluid

\(S_{\zeta } (\omega )\) :

The function of spectrum density

\(H_{S}\) :

Significant wave height

\(T_{1}\) :

Wave period

\(\omega\) :

Circle frequency

\(\omega_{e}\) :

Encounter frequency

\(z\) :

Heave (m)

ITTC:

International Towing Tank Conference1

\(a_{ij}\) :

Added mass

\(b_{ij}\) :

Damping coefficients

\(c_{ij}\) :

Restoring coefficients

\(m\) :

Mass of the trimaran

\(I\) :

Longitudinal inertia of the trimaran

\(F_{3}\) :

Wave force

\(M_{5}\) :

Wave moment

CFD:

Computational Fluid Dynamics

RANS:

Reynolds Averaged Navier–Stokes

\(P\) :

Scale ratio

\(v\) :

Speed of the trimaran

PF:

Polynomial fitting

EFD:

Experimental fluid dynamics

SST:

Shear stress transport

\(G(s,\alpha )\) :

The transfer function of wave-to-force and moment

\(B(s,\alpha )\) :

Numerator term of the transfer function

\(A(s,\alpha )\) :

The denominator of the transfer function

\(J(\alpha )\) :

The cost function

DOF:

Degree of freedom

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Funding

The work of Zhilin Liu was supported by National Natural Science Foundation of China, under Grant 51379044.

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Authors and Affiliations

  1. Automation Engineering Center, Gas Turbine Division, No. 703 Research Institute of China State Shipbuilding Corporation Limited, Harbin, 150078, China

    Linhe Zheng

  2. College of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin, 150001, China

    Linhe Zheng, Zhilin Liu, Bowen Zeng & Xinwei Wang

  3. Key Laboratory of Intelligent Technology and Application of Marine Equipment, Harbin Engineering University, Ministry of Education, Harbin, 150001, China

    Linhe Zheng, Zhilin Liu & Bowen Zeng

  4. Shanghai Aerospace Control Technology Institute, Shanghai, 201100, China

    Haiyang Meng

Authors
  1. Linhe Zheng
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  2. Zhilin Liu
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  3. Bowen Zeng
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  4. Haiyang Meng
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  5. Xinwei Wang
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Correspondence to Zhilin Liu or Bowen Zeng.

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Zheng, L., Liu, Z., Zeng, B. et al. Experimental and numerical study on heave and pitch motion calculation of a trimaran. J Mar Sci Technol 28, 136–152 (2023). https://doi.org/10.1007/s00773-022-00910-9

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  • DOI: https://doi.org/10.1007/s00773-022-00910-9

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