stability 翻译

Abstract: Ship plates are stiffened using different stiffeners. In this paper, a Y stiffener is considered and investigated. A Y stiffener–plate combination model is used to represent the stiffened panel. Our contribution includes characterizing the local instability (buckling) of Y stiffeners in stiffened panels under the action of uniaxial compressive loads. The mathematical derivations have been carried out to find the elastic buckling coefficient for the web of the T-part of the Y stiffener under suitable boundary conditions. Then, the critical value of the buckling stress has been calculated. Using the value of the critical stress and the assumption of uniform stress distribution, the buckling load is calculated for the Y stiffener–plate combination model. Using curve fitting of the analytically obtained results, approximate expressions for calculation of the elastic buckling coefficient of the T-part of the Y stiffener are obtained. These approximate expressions enable designers to calculate easily the elastic buckling coefficient from which the critical buckling stress of the T-part is obtained.

船板用不同的扶强材加固。在本文中，考虑和调查Y加劲肋。Y加劲板组合模型用于表示加劲板。我们的贡献包括在单轴压缩载荷的作用下，在加劲板中表征Y加劲肋的局部不稳定性（屈曲）。进行数学推导以在合适的边界条件下找到Y加劲肋的T形部分的腹板的弹性屈曲系数。然后，计算弯曲应力的临界值。使用临界应力的值和均匀应力分布的假设，计算Y加强板组合模型的屈曲载荷。使用解析获得的结果的曲线拟合，获得用于计算Y加强件的T部分的弹性屈曲系数的近似表达式。这些近似表达式使得设计者能够容易地计算得到T部分的临界屈曲应力的弹性屈曲系数。

INTRODUCTION

Ship plates are stiffened using stiffeners that are steel sec- tions having various shapes. In continuous stiffened ship plating, a stiffener (minor member) with attached plating is idealized by plate–stiffener combination model whose length extends perpendicularly between two adjacent major support members (transverse bulkheads). Various shapes of stiffeners may be classified according to their complexity into two groups.

The first group of stiffeners that may be termed con- ventional (or typical) has simple shapes, easy fabrication, easy maintenance, and relatively low cost. However, this group in some cases is not capable of giv- ing the required stiffening that is necessary to prevent fail- ure of ship plating. Among this group of stiffeners, we can mention flat bar, T section and angle section. Geometri- cal configurations of conventional (typical) plate–stiffener combination sections are shown in Figure 1.The second group of stiffeners that may be termed non- conventional has relatively complicated shapes. These non- conventional stiffeners give stronger support to ship plates. Among the non-conventional stiffeners we can men- tion,

rectangular box section, trapezoidal box section (hat shape), sharp n-section, and M-section (double triangle

box) are shown in Figure 2.

Many researchers have contributed to ship plating, using conventional stiffeners such as Timoshenko and Gere (1963), Bleich (1952), Paik et al. (1998), and Paik and Thayamballi (2003).

In Paik et al. (1998), T stiffener has been studied and the elastic buckling coefficient has been calculated under suitable boundary conditions.

Another type of the stiffener is the Y stiffener that was first introduced by Hans Ludolphy (2001). In Naar et al. (2002), the energy absorption for the Y stiffener has been studied. In our investigation, stiffener under suit- able boundary conditions is studied. The elastic buckling stress of the T-part of the Y stiffener is calculated. Using the obtained buckling stress and the assumption of uniform stress distribution, the elastic buckling load for the Y stiffener–plate combination model is calculated.

使用具有各种形状的钢截面的加强件来加固船板。在连续加强船舶电镀中，具有附接电镀的加强件（小构件）通过板- 加强件组合模型理想化，其长度在两个相邻主支撑构件（横向舱壁）之间垂直延伸。各种形状的加强件可根据其复杂性分为两组。

可称为传统（或典型）的第一组加强件具有简单的形状，容易制造，易于维护和相对低的成本。

然而，在某些情况下，该组不能提供防止船舶电镀故障所需的硬化。在这组加强筋中，我们可以提到扁钢，T截面和角截面。常规（典型）板- 加强件组合型材的几何结构示于图1中。可称为非常规的第二组加强件具有相对复杂的形状。这些非常规的加强件给船板提供更强的支撑。在非常规的加强件中，我们可以提出，矩形箱截面，梯形箱截面（帽形），尖锐的n截面和M截面（双三角形

框）如图2所示。

许多研究人员使用常规的加强筋，如Timoshenko和Gere（1963），Bleich（1952），Paik 等人（1998），和Paik和Thayamballi（2003）。

在Paik et al。（1998），已经研究了T型加强筋，并在适当的边界条件下计算了弹性屈曲系数。

另一种类型的加强件是由Hans Ludolphy（2001）首次引入的Y加强件。在Naar等人（2002），研究了Y加劲肋的能量吸收。在我们的调查中，加强筋在适当的边界条件下进行研究。计算Y加劲肋的T部分的弹性屈曲应力。使用获得的屈曲应力和均匀应力分布的假设，计算Ystiffener板组合模型的弹性屈曲载荷。

CONCLUSION

To conclude our article, our choice for the Y stiffener was based on the fact that it is stronger and retards the collapse occurrence than other conventional stiffeners.

We assumed suitable boundary conditions for the buckling of the Y stiffener. Under these boundary conditions, we have characterized the elastic buckling strength for both the T-part of the Y stiffener and the whole Y stiffener.Approximate expressions for estimation of the elastic buckling coefficients were obtained to make it easy for the designers to evaluate the elastic buckling coefficients. Finally, we have characterized the critical buckling stress and critical buckling load for both the T-part of the Y stiffener and the whole Y stiffener, respectively.

为了总结我们的文章，我们选择的Y加劲肋是基于这样的事实，它比其他传统扶强材更强，并延缓崩溃发生。我们假设合适的边界条件为Y加劲肋的屈曲。在这些边界条件下，我们已经表征了Y加劲肋的T部分和整个Y加强筋的弹性屈曲强度。获得了用于估计弹性屈曲系数的近似表达式，使得设计者容易地评价弹性屈曲系数。最后，我们分别描述了Y 加劲肋的T部分和整个Y加劲肋的临界屈曲应力和临界屈曲载荷。