全國中小學科展

四等獎

利用風洞分析微粒運動量-以蕨類孢子為例

本研究設計了兩個風洞實驗裝置,分為水平風洞與垂直風洞,兩者皆進行飄浮模擬試驗進而推算微小物質的運動量,並以小保麗龍球作為標準圓球,確保儀器的可用性,最後再透過醫檢儀器進行驗證。水平風洞利用機率的觀念統計孢子的分布,透過孢粉落下的高度差,帶入公式求得質量。垂直風洞則使用高倍率攝影鏡頭觀察孢子飛行,利用三力平衡的觀念推算其微小質量。最後,無論是自製風洞測出的質量、精確度、成本、測量速度和加速度的能力以及花費時間的長久,本實驗的儀器皆有優勢。 

PALF As Alternative In Novelty Composite

Pineapple leaf fiber (PALF) which is rich in cellulose, abundantly available, relatively inexpensive, low density, nonabrasive nature, high filling level possible, low energy consumption, high specific properties, biodegradability and has the potential for polymer reinforcement. The utilization of pineapple leaf fiber (PALF) as reinforcements in thermoplastic form for developing low cost and lightweight composites Pineapple leaf fibre (PALF) is one of them that have also good potential as reinforcement in thermoplastic composite. The objective our research is to characterize PALF and to investigate the effect of fibre treatment on the mechanical properties of PALF reinforced polypropylene (PP) composite PALF was obtained from pineapple plantation after the harvesting. The we dry the PALF to remove the water. Next step is grind the PALF into small particle. Both PP and PALF were compounded using internal mixer machine prior to compression moulding via hot press machine to form a sheet. After forming the composite sheet, samples were prepared for tensile test (ASTM D638), flexural test (ASTM D790) and impact test (ASTM D256).

拖線溜點

原題目是環球城市盃中,一個圖論的問題。而題目提供了一個證明,是證 明此種連線都是偶數的圖形,一定會在三的倍數邊形成立。在經過一番思考過 後,我們希望能將原本的偶數連線性質加以驗證,並確定奇存在性。此時,我們 也不禁聯想到:奇數是否也有所特別的性質。因此,我們也向奇數連線做研究。 就在平面得到了部分結論的同時,我們想到這個問題是否可以推廣至三維 空間。然而在推至三維空間的過程中,我們又聯想到,另一種平面:球面。在球 面上放點,能否也找到一些不同的性質。因此,我們分別從平面、球面、立體圖 下手。 基本上,探討平面和立體問題的方法,是以土法煉鋼的方式來求出結果。 然而這種圖論的問題,不可能嘗試到無限多點的情形。因此,我們是著找出一個 關鍵的key,那就是結合性質和外接合性質。以這兩種方法,我們可以將一個簡 單的基本圖形,推向無限多點和無限多邊的情況。 接下來,還有討論一些特殊狀況,例如: deg v=3n+1,探討其結果。 最後得到的結論是: 1、平面偶圖成立的條件為:此多邊形為三倍數邊形, 而且除了內 部一、二、四點以外, 其他點數都可以成為偶圖。 2、平面奇圖成立的條件為:奇數邊形的情形下,除了三點以外,其 他的內部奇數點的都可以成為奇圖。偶數情形下, 除了四 點以外, 其他的內部奇數點的都可以成為偶圖。 3、三角形平面圖,d eg n 皆為m 成立的條件:2< m< 6( m? N ) 4、三角形內外任意點d eg 皆為3n ( n ? N )的成立條件: 三角形內部4 x+1 個點( x ? N )。 5、三角形內外任意點d eg 皆為3n+1 ( n ? N )的成立條件: 三角形內部3 x 個點( x ? N )。 6、立體偶圖n 頂點(n>4)面體的成立條件為: 內部點數為5m+ n- 3、5m+ n- 1、5m+ n、5m+ n +1、5m+ n +3。(m 為大於或等於零的整數) 7、立體奇圖四面體的成立條件為: 內部點數為偶數皆存在。 The original problem is a question of Graph Theory in IMTOT ,which provides\r a proof that proving the figure which its linking-line number is even ,should also be\r contented in the triple-sides figure. After profound consideration ,we try to make sure\r the existence of the properties the we mentioned above. Meanwhile ,it also occurs to\r us that whether the properties would be contented ,in the figure which its linking-line\r number is odd. So we make our way to it. Additionally ,three-dimensional and\r spherical figures are part of our research as well.\r Basically ,we discuss the problem in two-dimensional and three-dimensional\r aspects with the simplest method .However ,it is impossible to discuss the problem in\r unlimited dots .Hence , we are going to find a “key” to solve this problem .As a\r result ,we can find a simple basic-picture , and expand to infinite-multiple lateral\r pictures.\r Next step ,we also discussed some special situations , for example: for each\r point v , deg v=3n+1.\r At last the conclusion is following:\r 1、The conditions of linking-line number is even: triple-sides. And the amount of\r points inside the figure is without 1,2,and 3.\r 2、The conditions of linking-line number is odd: In the odd-sides figure , all number\r of the points inside the figure can be content without 3 point. In the even-sides\r figure , all number of the points inside the figure can be content without 4 point.\r 3、In a triangle , each point’s deg is the same number m: 2

新穎光子晶體材料的研究與開發

本研究目的1.探討催化劑對光子晶體SiO? 合成的影響,依據催化劑對光子晶體製作的數據,統整歸納出不同濃度的氨水催化劑對於SiO? 的吸收光譜與粒徑大小等性質的影響。2.尋找簡易的方式進行光通道的製作。 採用溶膠凝膠法將tetraethylorthosilicate(TEOS) 以氨水做催化劑在乙醇溶液中的水解及縮合反應製作單分散SiO?粉體。 嘗試將細線附著在玻片上進行排列,排列完成後將細線拉起企圖製造一條溝道。 實驗結果,催化劑會影響合成SiO? 的顆粒大小,隨著催化劑濃度增加,顆粒大小也隨之增加。使用細線可成功製造出凹陷的孔道,但目前採用之線仍嫌太粗,欲尋找奈米線材加以取代以製造出更適用之光通道。 ;The purpose of this research is 1.to find out the influence of the catalyst on compounding silica photonic crystals . According to datum , I can generalize the connection between the consistency of catalyst and the particle size of photonic crystal. 2.to find easier method of making the passage of light. I used tetraethylorthosilicate (TEOS) as a reactant and ammonia as the catalyst to react hydrolysis ,water condensation and alcohol condensation in ethanol. I tried to put fine lines on sheet glasses. After the arrangement of the silica particles, I took apart the lines attempting to make sunken ditches. The outcome of this ecperiment show that partical size increases with the consistency of catalyst. We can use fine lines to make the sunken ditches, but the line is not fine enough that I should find much finer lines to make it.

就是那道光-色素增感型太陽能電池改良之探討

在這能源短缺的時代,開發替代能源已經成為主要課題。利用光觸媒特性所製成的色素增感型太陽能電池,因二氧化鈦光觸媒受到紫外光照射才產生電子躍遷,吸收光的頻率區域狹小,實用性不高。因此研究氧化鋅、二氧化錫與二氧化鈦混合,是否能提升該電池的轉換效率。藉由各種變因的探討,從中選取最有利的方式,使太陽能電池發揮更大的效益。除了以溫度、電解質、混合比例等因素外,增加電極面積以及串聯均可提高電壓與電流,以增加日常生活的實用性。如不斷的改進發展,諸如電解水、使小燈泡發光,甚至各種小家電用品的使用,都可應用於其中。In times of energy shortage, exploring the alternative energy has already become a main issue. The dye solar photocell is using photocatalyst characteristic. Because the electron transition is caused by lighting up the titanium dioxide photocatalyst by the ultraviolet, the frequency of spectrum is narrow and small. It is thus impractical. Therefore, we research whether or not the mixtures of zinc oxidize and tin oxide with titanium dioxide can improve the conversion efficiency of the dye solar photocell. Through discussion on various kinds of factors, we can choose the best way to make the dye solar cell yield more efficiency. In addition to the factors such as temperature, electrolyte, mixed proportion, etc., increasing the area of electrodes and contact can improve the voltage and electric current. That way we can increase the practicability for daily use. With constant improvement, it can be applied to many kinds of things, such as electrolyzing water, small bulb lights, even small household appliances.

AI人工智慧-應用社群網站互動於類神經網絡訓練之研究

傳統的類神經網絡人工智慧多半是以受控訓練為主。然而在本次研究中,我們先建構出一套以類神經網絡模型為基礎的人工智慧,再利用社群網站噗浪(Plurk)上使用者與此系統的互動,訓練類神經網絡,以期驗證社群網站作為訓練來源的效率與準確度。我們利用分析詞、句的方式,促使系統做出自動的回應,同時並收集相關資料作為統計與修正之用。經過漸進式的調整與精進後,我們成功利用高度模組化的人工智慧系統,達成「利用社群網站資料自我修正」的目標,且其準確度呈現遞增的趨勢。我們相信只要充分掌握社群文化,社群網站做為資料來源對學術研究必有所裨益,且能為自然語言領域帶來更多可能性。

Recycled PET bottles for vacuum packaging

Vacuum packaging is a packaging technique intended to extend the shelf life of food via the removal of air from an enclosed package prior to sealing. This process limits the growth of aerobic bacteria or fungi due to oxygen deprivation. In this work, we present a novel do-it-yourself vacuum packaging device using the exchange of water and air between two bottles to continuously generate a vacuum-suction effect. The sizes of bottle and vacuum bag were investigated for its impact on the vacuum generation in a plastic bag containing smoked fish sausages. Large commercial 3.1-litre PET bottle generated more vacuum than the smaller ones. An equilibrated vacuum pressure of a smaller plastic bag was lower than that of a larger size. With 3.1-litre PET bottles, the vacuum pressure for 3”x5”, 5”x8” and 6”x9” bags was equilibrated at 8, 10, 18 mmHg, respectively. Sausages packaged by our device last for 14 days when they were kept in -20oC refrigerator, which was comparable to those packed by the commercial vacuum packaging system for household use. This project demonstrates an application of simple science in a real life situation as well as a promotion of environmental protection idea as the electricity is not used in the vacuum generation process and the disposed plastic bottles can be reused.

會逆轉的石頭-RattleBack 逆旋現象

具有長短兩軸的對稱性剛體,譬如半橢球,在施加適當質量配重後,給予其Z 軸方向的 初角速度,將會逐漸上下震盪、搖擺,而後改變原先的角速度方向,朝相反的方向逆轉回來。 此現象稱為「逆旋現象」,本研究分析關於配重、質心距離與表面摩擦係數等因素的影響,利 用光點投影方式判讀其軌跡,並建立數學模型以驗證物理原理。研究發現,動摩擦垂直長軸 的分力所造成的力矩,將會導致逆旋的發生,並且,對本研究的剛體模型而言,加以20g 配 重,與長軸夾45°距質心5.5cm 且動摩擦系數為0.1227 時,逆轉角度有最大值。當長短兩軸 的震盪頻率相近時,甚至會發生兩軸能量的耦合現象,而有不只一次的逆旋。 The phenomenon was found for rigid bodies with long and short symmetrical axes, such as half-ellipsoids. We add extra masses ( Δm ) to a stone of the shape of half-ellipsoid and then give it an initial angular velocity ( 0 ω ) to make it spin. While the stone spins, the two symmetric axes start oscillating up and down. Then, remarkably, the spin of the stone slows down while the amplitude of oscillation increases until the direction of angular velocity reverses. This process is called “Rattle Back Spin-Reversed Phenomenon.” Our study involves the effect of several parameters on the above phenomenon, such as the shape of the stone, the added mass, and the friction between the stone and the table surface. We try to build a physical model to explain the spin-reversed phenomenon which can be recorded by tracing the motion of the stone with optical means. According to our study, the shape of the stone and the distribution of the added mass played crucial roles. The torque generated by kinetic friction along the long axis also helps the spin to reverse. Furthermore, in our experiment, we record a maximum reverse angle with following settings: two sets of 10 grams of mass are symmetrically added to the flat side of half-ellipsoid, in the distance of 5.5 cm to the C.M. of stone and an included 45 degrees angle with a long axis. And the most surprising finding is that when the oscillation frequencies of two symmetric axes are close to each other, the spin of the stone can reverse twice.

「煞」費苦心-探討渦電流在磁煞車上的應用

磁鐵與非磁性金屬轉盤因冷次定律產生阻尼效應而產生煞車效果,常常在物理實驗提到。但如何設計一個渦電流煞車器,又好像不是一件簡單的事。因為牽涉到許多變因,如轉盤材質、厚度、磁鐵與轉盤中心距、磁鐵數量、磁鐵與金屬轉盤距離、磁鐵移動速率等。本研究以”實驗驗證法”的方式,企圖為這些變因找到可依循的準則,進而充分掌握設計要點。為了有效率地分析這些變因,我們自行製作了一套「渦電流煞車分析系統」,可減少許多實驗時間並可記錄即時數據。另外,我們也量測渦電流在煞車系統的熱能分怖情形。在分析這些變因後,提出一份實用的設計指南。在最後,藉由控制磁盤的移動速度及與轉盤的距離,來分析渦電流煞車的各種即時「煞車曲線」。

以長距離立體影像模型為基礎之汽車防撞警示雷達系統的設計與研究

本研究基於雙鏡頭立體成像原理,提出適用於長距離的相機光軸校正演算法則。此演算法則可快速地將失真的影像修復,以提供正確物體影像的視差資訊來得到其3D立體影像的資訊。由於物體影像於長距離時會太小而變得難以辨識,因此加大影像解析度能有效提升物體影像的辨識度進而獲得長距離的立體影像,但電腦執行影像處理的運算時間也隨之變長而失去即時性。因此本研究採用圖形處理器及多重執行緒的技術,可將解析度1280*720的影像擷取和處理的運算時間縮短至每幅影像100毫秒以下,而達到影像處理的即時性。本研究最後將此研究成果用於汽車防撞警示雷達系統設計,此系統運用兩個網路攝影機來擷取影像,並利用OpenCV所提供之開放原始碼實現本研究所有使用之影像處理程序,以快速達到汽車防撞警示雷達系統的實現。