一类振动Timoshenko梁方程组的二阶差分格式
일류진동Timoshenko량방정조적이계차분격식
A Two-order Difference Scheme for Solving the Vibrating Timoshenko Beam Equations
  • 万方数据
    山东科学 산동과학
    SHANDONG SCIENCE
    2007年 2期 1-6,9 ,共7页

    李福乐%王述香%张洪谦%孙丹娜%赵静

    리복악%왕술향%장홍겸%손단나%조정

    Timoshenko梁%有限差分%可解性%收敛性%稳定性 Timoshenko樑%有限差分%可解性%收斂性%穩定性
    Timoshenko량%유한차분%가해성%수렴성%은정성
    Timoshenko beam%finite difference%solvability%convergence%stability
    本文用降阶法技巧对一类振动Timoshenko梁方程组构造了一个三层线性差分格式,用能量分析方法证明了格式的唯一可解性,无条件稳定性和在L∞范数下的二阶收敛性.最后给出了数值例子验证了理论结果.
    본문용강계법기교대일류진동Timoshenko량방정조구조료일개삼층선성차분격식,용능량분석방법증명료격식적유일가해성,무조건은정성화재L∞범수하적이계수렴성.최후급출료수치례자험증료이론결과.
    In this paper, we derive a linear three-level difference scheme for a vibrating Timoshenko beam equations by the method of reduction of order on uniform meshes and have proved that the scheme is uniquely solvable, unconditionally stable and second order convergent in L∞ norm with the discrete energy method. The result of the theoretical analysis is verified experimentally.
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