Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (9): 849-863.

• Articles • Previous Articles     Next Articles

AN ANALYTICAL SOLUTION OF SECOND-ORDER WAVE FORCEON A VERTICAL CIRCULAR CYLINDER

Zhou Zhi-li1, Dai Yi-shan2   

  1. 1. Dalian University of Technology, Dalian;
    2. Harbin Shipbuilding Engineering Institule, Harbin
  • Received:1993-02-10 Online:1994-09-18 Published:1994-09-18

Abstract: So far many investigations have been made on nonlinear wave diffraction problemfor a large-diameter vertical circular cylinder. However,there are still some problemsworthy to be further discussed. It includes that the second order radiation condition isnot very clear and the inhomogeneous term of second order free surface boundarycondition makes the calculation of second order wave force either not easier to beperformed accurately due to its slowly decaying with radial distance or toocomplicated for practical application. In this paper, the second order radiationcondition is posed of the circumferential Fourier components of second orderpotential, instead of the second order potential. It is found that the circumferenatialFourier cormponents of second order potential have to satisfy Sommerfeld radiationcondition. By means of the mathematical formulae derived in this paper, theinhomogeneous term of second order free surface boundary condition were simplifiedand then an exact expression of second order wave force was obtained, which issimpler in form and easier to be used in practical calculation. The calculation resultsagree well with some experimental data.

Key words: plastic deformation, incremental collapse, kinematicalshakedown theorem, second-order force, radiation condition, diffraction, water wave

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals