有限元素分析於瓦楞紙板豎壓強度試驗之探討

Edgewise Crush Test of Corrugated Cardboard by Finite Element Analysis

林曉洪(Sheau-Horng Lin) ； 洪國榮(Kuo-Jung Hong) ； 徐尚宗(Shang-Chung Hsu)

《中華林學季刊》 41卷3期 (2008/09) Pp. 395-411

https://doi.org/10.30064/QJCF.200809.0008

摘要

瓦楞紙板之強度於包裝工業之應用十分重要，其載重能力取決於瓦楞原紙及正確之設計方式。本研究之目的旨在探討國內生產之三款A楞瓦楞紙板與原紙之力學性質，利用ANSYS有限元素分析應用程式分析瓦楞紙板之豎壓強度。有限元素分析於瓦楞紙板之應用，係以有限元素法模擬瓦楞紙板之力學行為而建立其有限元素模型，進而進行瓦楞紙板於各種載重條件下之強度預測。三款A楞瓦楞紙板之豎壓強度分別為3.810、5.801及7.056 kN/m。瓦楞紙板豎壓強度試驗(ECT)之試片載重能力與外層裱面紙板縱向試片之環壓強度關係密切；與內層裱面紙板及瓦楞芯紙之關係則較低。經統計應用程式SPSS逐步回歸分析後顯示，瓦楞紙板豎壓載重值(Y)與裱面紙板縱向試片環壓強度(A)及ECT試片寬度(B)之關係式為Y=-1433.286+1.719A+14.309B；A≧19且B≧98。該公式與試驗值間之差異介於－1.4~2.3%，相關係數(r)為0.965，顯示其關係密切。本研究有限元素模型之最適網格尺寸為1~1.5 mm。三款A楞瓦楞紙板之有限元素分析之主要應力值分別為6.150、8.932及7.890kN/m。豎壓強度試驗之應力值遠低於有限元素分析值，其間之差距介於32.9~37.6%，平均為34.7%。雖然兩者間存有差距，惟其間之相關係數(r)高達0.994，顯示數值分析結果與試驗值之間關係密切。

關鍵字

瓦楞紙板 ； 豎壓強度試驗 ； 有限元素分析 ； 環壓強度試驗 ； 抗張性質

並列摘要

The strength of corrugated cardboard is the key factor in packaging industrial applications. Raw materials and accurate design methods are crucial in determining the load capacity of corrugated cardboard. The objective of this study was to get the mechanical properties of 3 different A-flute type corrugated cardboards and their composing boards which were made in Taiwan, then by using the ANSYS FEA program to analyze the edgewise compression strength of corrugated cardboard. The application of finite element analysis (FEA) is based on the finite element method that simulated the mechanical behavior of corrugated cardboard by a finite element model, and predicted the performance of the corrugated cardboard under various loading conditions. According to the results, the average value of edgewise compression strength for 3 different A-flute corrugated cardboards were 3.810, 5.801 and 7.506 kN/m. The ECT loading ability of corrugated cardboard correlated closely with RCT value from machine direction piece of outer layer linerboard. The correlation between ECT loading values and inner linerboard and the corrugating medium's RCT value were not so closely than those of outer linerboard. By using SPSS statistic program with stepwise regression analysis, we got the relationship formula between ECT loading value (Y) and RCT value of MD piece (A) and width of ECT piece (B) showed Y=-1433.286+1.719A+14.309B, A≧19 and B≧98. The difference between experimental value and calculated value were -1.4~2.3%, and the correlation coefficient (r) was 0.965. There was a significant correlation between ECT value and calculated value. The optimum mesh size in this study was 1~1.5 mm. The main stress for 3 different A-flute corrugated cardboard by FEA were 6.150, 8.932 and 7.890 kN/m. ECT stress value was significantly lower than that of FEA calculated value. The ranges between both were 32.9~37.6% (Avg. 34.7%). Although they showed significantly different with each other, but the high correlation coefficient (r) 0.994 obtained indicated that a close relationship between ECT values and FEA calculated values.

並列關鍵字

Corrugated cardboard ； Edge crush test ECT ； Finite element analysis FEA ； Ring crush test RCT ； Tensile breaking properties