JP5958312B2 - Setting method of laminated coating film specifications - Google Patents

Setting method of laminated coating film specifications Download PDF

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JP5958312B2
JP5958312B2 JP2012266319A JP2012266319A JP5958312B2 JP 5958312 B2 JP5958312 B2 JP 5958312B2 JP 2012266319 A JP2012266319 A JP 2012266319A JP 2012266319 A JP2012266319 A JP 2012266319A JP 5958312 B2 JP5958312 B2 JP 5958312B2
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coating film
base coating
color
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雅史 篠田
篠田  雅史
加藤 秀和
秀和 加藤
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Mazda Motor Corp
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Description

本発明は、下地を隠蔽する第1ベース塗膜と、可視光線透過性を有する第2ベース塗膜とによって特定色を所定の態様で発色させるようにした積層塗膜に関し、その塗装のための諸元を設定する方法に関する。   The present invention relates to a laminated coating film in which a specific color is developed in a predetermined manner by a first base coating film that conceals a base and a second base coating film having visible light transmittance, and for the coating thereof. It relates to a method for setting specifications.

近年、自動車等の高い意匠性が求められる被塗物については、例えば、ハイライトの彩度が高く、且つ強い深みを有する塗色を得ることが要望される。自動車では、車体の塗装に2コート1ベークや3コート1ベークが採用され、第1ベース塗膜は顔料及び光輝材を含有し下地を隠蔽するメタリックベース層とし、第2ベース塗膜は顔料を含有し且つ可視光線透過性を有するカラークリヤ層とすることで、上記意匠の実現が図られている。   In recent years, for objects to be coated such as automobiles that require high designability, for example, it is desired to obtain a coating color having high saturation and strong depth. In automobiles, two-coat one-bake or three-coat one-bake is used to paint the car body. The first base coating film is a metallic base layer that contains a pigment and a glittering material and conceals the base, and the second base coating film contains a pigment. The design is realized by using a color clear layer that contains and has visible light transmittance.

例えば、特許文献1には、メタリックベース塗膜の上に着色ベース塗膜及び透明クリヤ塗膜を積層してなる積層塗膜において、膜厚のバラツキによる色ムラの発生、額縁現象の発生及びポリッシュ補修による色相の変化を抑制し、彩かさと深み感を得るべく積層塗膜の諸元を設定することが記載されている。具体的には、メタリックベース塗膜の明度L値を60以下とし、着色ベース塗膜の波長400nm以上700nm以下の光線透過率を30%以上50%以下とし、着色ベース塗膜の膜厚を5μm以上20μm以下とし、クリヤ塗膜の膜厚を25μm以上45μm以下とする、というものである。 For example, in Patent Document 1, in a laminated coating film in which a colored base coating film and a transparent clear coating film are laminated on a metallic base coating film, color unevenness due to film thickness variation, occurrence of a frame phenomenon, and polishing It is described that the specifications of the laminated coating are set so as to suppress hue change due to repair and to obtain a sense of color and depth. Specifically, the lightness L * value of the metallic base coating film is set to 60 or less, the light transmittance at a wavelength of 400 nm to 700 nm of the colored base coating film is set to 30% to 50%, and the film thickness of the colored base coating film is set. The thickness is 5 μm or more and 20 μm or less, and the thickness of the clear coating film is 25 μm or more and 45 μm or less.

特許第4727411号公報Japanese Patent No. 4727411

ところで、下地を隠蔽する第1ベース塗膜と、可視光線透過性を有する第2ベース塗膜とによって特定色を所定の態様で発色させる場合、その発色意図に基いて、第1ベース塗膜及び第2ベース塗膜各々の色相を決め、意図する発色が得られるように第2ベース塗膜の膜厚、顔料濃度等を設定することが行なわれている。   By the way, when a specific color is developed in a predetermined manner by the first base coating film concealing the base and the second base coating film having visible light transmittance, the first base coating film and The hue of each second base coating film is determined, and the film thickness, pigment concentration, etc. of the second base coating film are set so that the intended color development is obtained.

しかし、発色意図に適合する第1ベース塗膜及び第2ベース塗膜の色相の決定、第2ベース塗膜の膜厚及び顔料濃度の決定のためには、塗装条件を種々に変えて試行を繰り返す必要があり、手間及びコストが多大になるととともに、熟練した技能を要する。特に、実塗装では、目標膜厚を定めて第2ベース塗膜の塗装を行なったとき、必ずしも目標膜厚にならず、その塗装方法や塗料の種類等に応じて膜厚が目標膜厚から多少ずれることがあり、この膜厚変動によって所期の発色効果が得られないケースも出てくる。   However, in order to determine the hues of the first base coating film and the second base coating film that match the color development intention, and to determine the film thickness and pigment concentration of the second base coating film, trials were performed with various coating conditions changed. It needs to be repeated, and it takes a lot of labor and cost and requires skilled skills. In particular, in actual coating, when the target film thickness is determined and the second base coating film is applied, the target film thickness does not necessarily become the target film thickness. There may be some deviation, and there may be cases where the desired coloring effect cannot be obtained due to this film thickness variation.

そこで、本発明は、第1ベース塗膜に第2ベース塗膜を積層してなる積層塗膜に関し、特定色を所定の態様で発色させるための諸元を簡単に設定する方法を提供する。   Therefore, the present invention relates to a laminated coating film obtained by laminating a second base coating film on a first base coating film, and provides a method for easily setting specifications for developing a specific color in a predetermined manner.

本発明は、上記課題を解決するために、積層塗膜の塗色を、第2ベース塗膜の着色剤(顔料又は染料)濃度及び膜厚を変数として指数関数的に変化する色空間上の色座標値で表すモデルを設定し、このモデルに基いて特定色を発色させるための諸元を設定するようにした。   In order to solve the above-mentioned problems, the present invention is a color space on which the coating color of a laminated coating film changes exponentially with the colorant (pigment or dye) concentration and film thickness of the second base coating film as variables. A model represented by color coordinate values was set, and specifications for developing a specific color were set based on this model.

すなわち、ここに提示する好ましい積層塗膜諸元の設定方法は、着色剤として顔料又は染料を含有し下地を隠蔽する第1ベース塗膜と、この第1ベース塗膜の上側に積層され着色剤として顔料又は染料を含有し且つ可視光線透過性を有する第2ベース塗膜とによって特定色を発色させるようにした積層塗膜において、その発色のための諸元を設定する方法であって、
上記積層塗膜の塗色を、上記第2ベース塗膜の着色剤濃度X及び膜厚Yを変数として指数関数的に変化する色空間上の色座標値Nで表すモデルを設定するステップと、
上記積層塗膜によって上記特定色を発色させるための目標とする色座標値の上限THと下限TLとを設定するステップと、
上記第2ベース塗膜の実塗装時の目標膜厚Ytと該目標膜厚Ytを基準とする膜厚変動率Zを設定するステップと、
上記モデルに基いて、上記第2ベース塗膜の膜厚Yが膜厚変動幅の下限値であるときに上記色座標値Nが上記目標色座標値の下限TLとなり、上記第2ベース塗膜の膜厚Yが膜厚変動幅の上限値であるときに上記色座標値Nが上記目標色座標値の上限THとなる条件下に、上記膜厚変動率Zに応じた、上記第1ベース塗膜の色座標値B1及び上記第2ベース塗膜の着色剤濃度Xを設定するステップとを備えていることを特徴とする。
That is, a preferable method for setting the specifications of the laminated coating film presented here includes a first base coating film containing a pigment or a dye as a colorant and concealing the base, and a colorant laminated on the upper side of the first base coating film. In a laminated coating film which contains a pigment or a dye and has a visible light transmittance and a specific color is developed by the second base coating film, a method for setting specifications for the color development,
Setting a model that expresses the coating color of the laminated coating film as a color coordinate value N on a color space that changes exponentially with the colorant concentration X and the film thickness Y of the second base coating film as variables;
Setting an upper limit TH and a lower limit TL of target color coordinate values for causing the specific color to be developed by the laminated coating film;
Setting a target film thickness Yt during actual coating of the second base coating film and a film thickness variation rate Z based on the target film thickness Yt;
Based on the model, when the film thickness Y of the second base coating film is the lower limit value of the film thickness fluctuation range, the color coordinate value N becomes the lower limit TL of the target color coordinate value, and the second base coating film The first base corresponding to the film thickness variation rate Z under the condition that the color coordinate value N is the upper limit TH of the target color coordinate value when the film thickness Y is the upper limit value of the film thickness variation width. And a step of setting a color coordinate value B1 of the coating film and a colorant concentration X of the second base coating film.

例えば、上記モデルを設定するステップにおいて、上記積層塗膜の塗色を色空間上の色座標値Nで表す次の着色モデル式(1)を設定し、
N=P−(P−B1)×exp(−AXY) ……(1)
(但し、Pは当該色空間における100%隠蔽(完全隠蔽)が得られる色座標値、Xは上記第2ベース塗膜の着色剤濃度(質量分率)、Yは上記第2ベース塗膜の膜厚(μm)、Aは、上記着色剤を用いて調製した積層塗膜サンプルについて実測したN値、P値、B1値、X値及びY値を上記モデル式(1)に代入して得られる上記着色剤の着色力である。)
For example, in the step of setting the model, the following coloring model formula (1) expressing the coating color of the laminated coating film as a color coordinate value N in a color space is set,
N = P− (P−B1) × exp (−AXY) (1)
(However, P is a color coordinate value that provides 100% concealment (complete concealment) in the color space, X is a colorant concentration (mass fraction) of the second base coating film, and Y is the second base coating film. The film thickness (μm) and A are obtained by substituting the measured N value, P value, B1 value, X value and Y value for the laminated coating film sample prepared using the colorant into the model equation (1). The coloring power of the above-mentioned coloring agent.)

上記第2ベース塗膜の膜厚がYt(1+Z)であるときに上記色座標値Nが上記目標色座標値の上限THとなり、上記第2ベース塗膜の膜厚がYt(1−Z)であるときに上記色座標値Nが上記目標色座標値の下限TLとなる条件下に、上記モデル式(1)に基いて、上記膜厚変動率Zに応じた上記第1ベース塗膜の色座標値B1及び上記第2ベース塗膜の着色剤濃度Xを設定する。   When the film thickness of the second base coating film is Yt (1 + Z), the color coordinate value N is the upper limit TH of the target color coordinate value, and the film thickness of the second base coating film is Yt (1-Z). Of the first base coating film according to the film thickness variation rate Z based on the model equation (1) under the condition that the color coordinate value N is the lower limit TL of the target color coordinate value. The color coordinate value B1 and the colorant concentration X of the second base coating film are set.

本発明者の研究によれば、積層塗膜の色座標値Nは、第2ベース塗膜の膜厚Yが増大するに従って対数関数的に増大する。また、この対数関数的増大は、第2ベース塗膜の着色剤濃度Xが低くなるほど緩やかになり、また、第1ベース塗膜の色座標値B1が高くなるほど緩やかになる。   According to the inventor's research, the color coordinate value N of the laminated coating film increases logarithmically as the film thickness Y of the second base coating film increases. Further, the logarithmic increase becomes gentler as the colorant concentration X of the second base coating film becomes lower, and becomes slower as the color coordinate value B1 of the first base coating film becomes higher.

そこで、上記モデル式(1)は、第2ベース塗膜の着色剤濃度X及び膜厚Y各々が増大するに従って当該積層塗膜の色座標値Nが対数関数的に増大するように、負の数「−AXY」を指数とする指数関数で色座標値Nの増大特性を近似し、且つ、第1ベース塗膜の色座標値B1が高くなるほど当該対数関数的増大が緩やかになるように設定している。   Therefore, the model equation (1) is negative so that the color coordinate value N of the laminated coating film increases logarithmically as the colorant concentration X and the film thickness Y of the second base coating film increase. An increase function of the color coordinate value N is approximated by an exponential function having the number “−AXY” as an index, and the logarithmic increase is set to be gentler as the color coordinate value B1 of the first base coating film is higher. doing.

ここに、実塗装では第2ベース塗膜の膜厚変動が避けられないことから、その膜厚変動があっても、得られる積層塗膜の色座標値Nが目標色座標値の上限THを越えないように、且つ目標色座標値の下限TLを下回らないようにしなければならない。すなわち、上記下限TLが得られる膜厚Yから上記上限THが得られる膜厚Tまでが第2ベース塗膜に許容される膜厚範囲になる。 Here, since the film thickness variation of the second base coating film is unavoidable in actual coating, the color coordinate value N of the obtained multilayer coating film has the upper limit TH of the target color coordinate value even if the film thickness variation occurs. It must be ensured that it does not exceed and does not fall below the lower limit TL of the target color coordinate value. That is, a film thickness ranging from the thickness Y L for the lower limit TL is obtained until the film thickness T H of the upper limit TH is obtained is permitted to the second base coating film.

一方、当然のことながら、積層塗膜の色座標値Nの対数関数的増大が緩やかになるほど、上記下限TLが得られる膜厚Yと上記上限THが得られる膜厚Tとの差が大きくなる、つまり、第2ベース塗膜に許容される膜厚変動率Zが大きくなる。 On the other hand, of course, the more slowly logarithmically increasing color coordinate value N of the multilayer coating film, the difference between the thickness T H having a thickness above the lower limit TL is obtained Y L and the upper limit TH is obtained In other words, the film thickness variation rate Z allowed for the second base coating film increases.

以上のように、第1ベース塗膜の色座標値B1が高くなるほど積層塗膜の色座標値Nの対数関数的増大が緩やかになり、この対数関数的増大が緩やかになるほど第2ベース塗膜に許容される膜厚変動率Zが大きくなるから、この第2ベース塗膜の膜厚変動率Zの大小は第1ベース塗膜の色座標値B1の大小に対応することになる。   As described above, as the color coordinate value B1 of the first base coating film increases, the logarithmic increase in the color coordinate value N of the laminated coating film becomes gradual, and as the logarithmic increase increases, the second base coating film increases. Since the allowable film thickness fluctuation rate Z increases, the film thickness fluctuation rate Z of the second base coating film corresponds to the color coordinate value B1 of the first base coating film.

従って、上記P値、目標色座標値の上限TH及び下限TL、並びに第2ベース塗膜の膜厚変動率Zが与えられると、第1ベース塗膜の色座標値B1が得られる。   Accordingly, given the P value, the upper and lower limits TH and TL of the target color coordinate value, and the film thickness variation rate Z of the second base coating film, the color coordinate value B1 of the first base coating film is obtained.

この点をモデル式(1)でみると、これに上限TH、下限TL及び膜厚変動率Zを与えると、次式(2)及び(3)が得られる。   When this point is seen in the model equation (1), when the upper limit TH, the lower limit TL, and the film thickness variation rate Z are given thereto, the following equations (2) and (3) are obtained.

TL=P−(P−B1)×exp{−AXY(1−Z)} ……(2)
TH=P−(P−B1)×exp{−AXY(1+Z)} ……(3)
TL = P− (P−B1) × exp {−AXY (1-Z)} (2)
TH = P− (P−B1) × exp {−AXY (1 + Z)} (3)

この連立方程式をB1について解くと、次式(4)が得られ、第1ベース塗膜の色座標値B1が得られることがわかる。   When this simultaneous equation is solved for B1, the following equation (4) is obtained, and it is understood that the color coordinate value B1 of the first base coating film is obtained.

B1=P−{(P−TL)1+Z/(P−TH)1−Z}1/2Z ……(4) B1 = P-{(P-TL) 1 + Z / (P-TH) 1-Z } 1 / 2Z (4)

また、上記P値、目標色座標値の上限TH及び下限TL、上記着色剤の着色力A、目標膜厚Yt、並びに上記膜厚変動率Zが与えられると、第2ベース塗膜の着色剤濃度Xが得られる。   Further, given the P value, the upper limit TH and the lower limit TL of the target color coordinate value, the coloring power A of the colorant, the target film thickness Yt, and the film thickness variation rate Z, the colorant of the second base coating film A concentration X is obtained.

すなわち、モデル式(1)から導かれる式(2)及び(3)の連立方程式をAXYについて解くと、次式(5)が得られ、そのAXYの値に上記着色剤の着色力A及び目標膜厚Ytを与えると、第2ベース塗膜の着色剤濃度Xが得られることがわかる。   That is, when the simultaneous equations of the equations (2) and (3) derived from the model equation (1) are solved for AXY, the following equation (5) is obtained, and the coloring power A of the colorant and the target are obtained as the values of AXY. It can be seen that when the film thickness Yt is given, the colorant concentration X of the second base coating film is obtained.

AXY=(1/2Z)・ln{(P−TL)/(P−TH)} ……(5)     AXY = (1 / 2Z) · ln {(P-TL) / (P-TH)} (5)

上記第1ベース塗膜は、上記着色剤及び光輝材を含有するメタリックベース塗膜であることが好ましい。   The first base coating film is preferably a metallic base coating film containing the colorant and a glittering material.

上記第2ベース塗膜は、上記特定色の光線透過率が55%以上であり、上記特定色の色相をマンセル色相環の中央値としてマンセル色相環を百分割し左廻り+50、右廻り−50で色相範囲を表示したときの−25以上+25以下を特定色の色相範囲としたとき、この色相範囲外の波長域の平均光線透過率が50%以下であることが好ましい。   The second base coating film has a light transmittance of 55% or more for the specific color. The hue of the specific color is set to the median value of the Munsell hue ring. When the hue range of −25 or more and +25 or less when the hue range is displayed is defined as the hue range of the specific color, it is preferable that the average light transmittance in a wavelength region outside this hue range is 50% or less.

本発明によれば、着色剤として顔料又は染料を含有し下地を隠蔽する第1ベース塗膜と、この第1ベース塗膜の上側に積層され着色剤として顔料又は染料を含有し且つ可視光線透過性を有する第2ベース塗膜とによって特定色を所定の態様で発色させるようにした積層塗膜において、当該発色のための諸元を簡便に効率良く設定することができる。   According to the present invention, a first base coating film containing a pigment or dye as a colorant and concealing the underlayer, and a pigment or dye as a colorant laminated on the first base coating film and transmitting visible light. In the laminated coating film in which the specific color is developed in a predetermined manner by the second base coating film having the property, the specifications for the color development can be easily and efficiently set.

積層塗膜の構造を模式的に示す断面図である。It is sectional drawing which shows the structure of a laminated coating film typically. 第2ベース塗膜単独での膜厚と色座標値との関係を示すグラフ図である。It is a graph which shows the relationship between the film thickness in a 2nd base coating film independent, and a color coordinate value. 第2ベース塗膜の膜厚と積層塗膜の色座標値Nとの関係を示すグラフ図である。It is a graph which shows the relationship between the film thickness of a 2nd base coating film, and the color coordinate value N of a laminated coating film. 第2ベース塗膜の膜厚とモデル式に基づく積層塗膜の色座標値Nとの関係を示すグラフ図である。It is a graph which shows the relationship between the film thickness of a 2nd base coating film, and the color coordinate value N of the laminated coating film based on a model formula. 目標色座標値の上限TH及び下限TLと膜厚変動幅との関係を示すグラフ図である。It is a graph which shows the relationship between the upper limit TH and lower limit TL of a target color coordinate value, and a film thickness fluctuation range. 第2ベース塗膜の膜厚と積層塗膜のL座標実測値との関係を示すグラフ図である。It is a graph which shows the relationship between the film thickness of a 2nd base coating film, and the L coordinate actual value of a laminated coating film. 第2ベース塗膜の膜厚と積層塗膜のa座標実測値との関係を示すグラフ図である。It is a graph which shows the relationship between the film thickness of a 2nd base coating film, and the a coordinate actual value of a laminated coating film. 第2ベース塗膜の膜厚と積層塗膜のb座標実測値との関係を示すグラフ図である。It is a graph which shows the relationship between the film thickness of a 2nd base coating film, and b coordinate measured value of a laminated coating film. 第2ベース塗膜の膜厚と積層塗膜の変換L座標値との関係を示すグラフ図である。It is a graph which shows the relationship between the film thickness of a 2nd base coating film, and the conversion L coordinate value of a laminated coating film. 第2ベース塗膜の膜厚とAXY計算値との関係を示すグラフ図である。It is a graph which shows the relationship between the film thickness of a 2nd base coating film, and an AXY calculation value. 第2ベース塗膜の膜厚とL座標値の実測値及び理論値との関係を示すグラフ図である。It is a graph which shows the relationship between the film thickness of a 2nd base coating film, the measured value of L coordinate value, and a theoretical value. 目標色座標値の許容幅が広いときの、第2ベース塗膜の膜厚変動率と第1ベース塗膜及び第2ベース塗膜のL座標値B1,B2との関係を示すグラフ図である。It is a graph which shows the relationship between the film thickness fluctuation rate of a 2nd base coating film, and L coordinate value B1, B2 of a 1st base coating film and a 2nd base coating film when the tolerance | permissible_range of a target color coordinate value is wide. . 目標色座標値の許容幅が狭いときの、第2ベース塗膜の膜厚変動率と第1ベース塗膜及び第2ベース塗膜のL座標値B1,B2との関係を示すグラフ図である。It is a graph which shows the relationship between the film thickness fluctuation rate of a 2nd base coating film, and L coordinate value B1, B2 of a 1st base coating film and a 2nd base coating film when the tolerance | permissible_range of a target color coordinate value is narrow. .

以下、本発明を実施するための形態を図面に基づいて説明する。以下の好ましい実施形態の説明は、本質的に例示に過ぎず、本発明、その適用物或いはその用途を制限することを意図するものではない。   Hereinafter, embodiments for carrying out the present invention will be described with reference to the drawings. The following description of the preferred embodiments is merely exemplary in nature and is not intended to limit the invention, its application, or its use.

図1は自動車の車体(鋼板)1の外面に設けられた積層塗膜2の一例を模式的に示す。この積層塗膜2は、第1ベース塗膜4、第2ベース塗膜5及び透明のクリヤ塗膜6を順に積層してなる。第1ベース塗膜4は光輝材7及び着色剤としての顔料8を含有するメタリックベース塗膜である。第2ベース塗膜5は着色剤としての顔料8を含有する。車体1の表面にはカチオン電着塗装によって電着塗膜3が形成され、電着塗膜3の上に中塗り塗膜9が形成され、この中塗り塗膜9の上に上記積層塗膜2が設けられている。   FIG. 1 schematically shows an example of a laminated coating film 2 provided on the outer surface of a car body (steel plate) 1 of an automobile. The laminated coating film 2 is formed by laminating a first base coating film 4, a second base coating film 5, and a transparent clear coating film 6 in this order. The first base coating film 4 is a metallic base coating film containing a bright material 7 and a pigment 8 as a colorant. The second base coating film 5 contains a pigment 8 as a colorant. An electrodeposition coating film 3 is formed on the surface of the vehicle body 1 by cationic electrodeposition coating, and an intermediate coating film 9 is formed on the electrodeposition coating film 3, and the laminated coating film 9 is formed on the intermediate coating film 9. 2 is provided.

この積層塗膜2は、下地(中塗り塗膜9)を隠蔽する第1ベース塗膜4と、この第1ベース塗膜4の表面に直接積層された可視光線透過性を有する第2ベース塗膜5とによって特定色を発色させるようにしている。第2ベース塗膜5は、特定色の光線透過率が55%以上70%以下が好ましく、特定色の色相をマンセル色相環の中央値としてマンセル色相環を百分割し左廻り+50、右廻り−50で色相範囲を表示したときの−25以上+25以下を特定色の色相範囲としたとき、この色相範囲外の波長域の平均光線透過率が50%以下であることが好ましい。   This laminated coating film 2 includes a first base coating film 4 that hides the base (intermediate coating film 9), and a second base coating film that is directly laminated on the surface of the first base coating film 4 and has visible light transmittance. A specific color is developed by the film 5. The second base coating film 5 preferably has a light transmittance of a specific color of 55% or more and 70% or less. The hue of the specific color is set to the median value of the Munsell hue ring. When the hue range of −25 or more and +25 or less when the hue range is displayed at 50 is defined as the hue range of the specific color, the average light transmittance in a wavelength region outside this hue range is preferably 50% or less.

<発色メカニズムの一例>
上記第1ベース塗膜4と第2ベース塗膜5とによる発色のメカニズムを、着色剤として赤の顔料8を採用して特定色として赤を発色させるケースで説明する。
<Example of coloring mechanism>
The color development mechanism of the first base coating film 4 and the second base coating film 5 will be described in the case where red pigment 8 is used as a colorant and red is developed as a specific color.

クリヤ塗膜6を透過した光は第2ベース塗膜5に入射する。第2ベース塗膜5には、例えば、高彩度・高明度の実現のために、赤い光をできるだけ多く透過させる機能、赤以外の色の光をできるだけ吸収する機能を与える。そのための主な制御因子は、顔料8の種類、並びに顔料8の量(濃度,膜厚)である。顔料8の種類によって光線透過率の波長特性が変わる。顔料8の量が多くなると、赤い光の透過率はそれほど大きく低下しないが、赤以外の光の透過率が低下してくる(赤以外の光がよく吸収される)。   The light transmitted through the clear coating 6 enters the second base coating 5. For example, the second base coating film 5 has a function of transmitting as much red light as possible and a function of absorbing light of colors other than red as much as possible in order to achieve high saturation and high brightness. The main control factors for this are the type of pigment 8 and the amount (concentration, film thickness) of pigment 8. The wavelength characteristic of the light transmittance varies depending on the type of the pigment 8. When the amount of the pigment 8 increases, the transmittance of red light does not decrease so much, but the transmittance of light other than red decreases (light other than red is well absorbed).

第2ベース塗膜5を透過した光は第1ベース塗膜4で反射される。第1ベース塗膜4には、例えば、深み感を高めるためにFF(フリップフロップ)を大きくする機能、彩度を高めるために赤い光を反射し赤以外の光をできるだけ反射させない機能を与える。深み感を与えるための主な制御因子は、光輝材7の種類(光輝材種、粒径ないしアスペクト比)、光輝材7の量(濃度,膜厚)及び光輝材7の配向性である。彩度を高めるための主な制御因子は、第2ベース塗膜5の場合と同じく、顔料8の種類、並びに顔料8の量(濃度,膜厚)である。   The light transmitted through the second base coating film 5 is reflected by the first base coating film 4. For example, the first base coating film 4 has a function of increasing the FF (flip-flop) in order to increase the sense of depth, and a function of reflecting red light and preventing reflection of light other than red as much as possible in order to increase the saturation. The main control factors for giving a sense of depth are the type of the glitter material 7 (the glitter material type, particle size or aspect ratio), the amount of the glitter material 7 (concentration, film thickness), and the orientation of the glitter material 7. The main control factors for increasing the saturation are the kind of pigment 8 and the amount (concentration, film thickness) of the pigment 8 as in the case of the second base coating film 5.

第1ベース塗膜4で反射された光は第2ベース塗膜5を透過し、さらにクリヤ塗膜6を透過して外に出ることになる。   The light reflected by the first base coating film 4 passes through the second base coating film 5 and further passes through the clear coating film 6 and goes out.

<積層塗膜の塗装諸元の設定>
1.発色モデル式の設定(構築)
第2ベース塗膜5の着色剤による着色力(発色力)は次のように表すことができる。
<Setting of coating specifications for laminated coating film>
1. Coloring model formula setting (construction)
The coloring power (coloring power) of the second base coating film 5 by the colorant can be expressed as follows.

塗膜の着色力=単位膜厚当たりの着色力×膜厚Y     Coloring power of coating film = Coloring power per unit film thickness × film thickness Y

「単位膜厚当たりの着色力」は「着色剤着色力A×着色剤濃度X」と表すことができる。従って、次のようになる。   “Coloring power per unit film thickness” can be expressed as “colorant coloring power A × colorant concentration X”. Therefore:

塗膜の着色力=着色剤着色力A×着色剤濃度X×膜厚Y     Color strength of coating film = colorant coloring power A × colorant concentration X × film thickness Y

ここに、着色剤着色力Aは着色剤固有の着色力である。着色剤濃度Xは質量分率で表した第2ベース塗膜5の着色剤濃度である。膜厚Yは第2ベース塗膜5の膜厚であり、単位はμmである。   Here, the coloring power A is a coloring power unique to the coloring agent. The colorant concentration X is the colorant concentration of the second base coating film 5 expressed in mass fraction. The film thickness Y is the film thickness of the second base coating film 5, and the unit is μm.

本発明者の研究によれば、図2に示すように、第2ベース塗膜5単独での塗色を、例えば、Lab表色系(「L表色系」を便宜上「Lab表色系」と記す。)の色座標軸の一つであるa軸でみたとき、その色座標値は、着色剤濃度Xが一定のとき、膜厚Yが増大するに従って、100%隠蔽(完全隠蔽)が得られる色座標値Pを漸近線として対数関数的に増大していく(当然のことながら、膜厚Yを一定として着色剤濃度Yを増大させた場合も同じである。)。そして、膜厚Yの増大に伴う当該色座標値aの対数関数的増大は、着色剤濃度Xが高くなるほど急になる。 According to the research of the present inventor, as shown in FIG. 2, the color of the second base coating film 5 alone is, for example, the Lab color system (“L * a * b * color system” is referred to as “ The color coordinate value is 100% concealed as the film thickness Y increases when the colorant concentration X is constant (when viewed on the a-axis, which is one of the color coordinate axes of “Lab color system”). The color coordinate value P at which complete concealment is obtained increases logarithmically as an asymptote (naturally, the same is true when the colorant concentration Y is increased while the film thickness Y is constant). The logarithmic increase in the color coordinate value a accompanying the increase in the film thickness Y becomes steeper as the colorant concentration X increases.

従って、色座標値aの対数関数的増大特性は、負の数「−AXY」を指数とする指数関数で近似することができる。   Therefore, the logarithmic increase characteristic of the color coordinate value a can be approximated by an exponential function with a negative number “−AXY” as an index.

ここでは、説明の便宜上、Lab表色系のa軸(一次元)で代表させるが、三次元であっても、また、XYZ、RGBなど他の表色系であっても原理は同じである。   Here, for convenience of explanation, the Lab color system is represented by the a-axis (one-dimensional), but the principle is the same regardless of whether it is three-dimensional or other color systems such as XYZ and RGB. .

第1ベース塗膜4に第2ベース塗膜5が積層された積層塗膜の場合、その塗色の色座標値(これを「色座標値N」とする。)は、次式で示すように、第1ベース塗膜4単独での色座標値B1に第2ベース塗膜5単独での色座標値B2が加算された値になる。   In the case of a laminated coating film in which the second base coating film 5 is laminated on the first base coating film 4, the color coordinate value of the coating color (this is referred to as “color coordinate value N”) is expressed by the following equation: Further, the color coordinate value B2 of the second base coating film 5 alone is added to the color coordinate value B1 of the first base coating film 4 alone.

色座標値N=B1+B2     Color coordinate value N = B1 + B2

すなわち、積層塗膜では、第1ベース塗膜4による着色力によって色座標値NのベースレベルがB1だけ高くなる。その結果、第2ベース塗膜5の膜厚Yの増大に伴う色座標値Nの対数関数的増大傾向は図3に示すようになる。同図において、B1(α)は、第1ベース塗膜4の塗色が第2ベース塗膜5の塗色に近いケース(第1ベース塗膜4における着色剤量が多いケース)であり、B1(β)は、第1ベース塗膜4の塗色が第2ベース塗膜5の塗色から離れているケース(第1ベース塗膜4における着色剤量が少ないケース)である。   That is, in the laminated coating film, the base level of the color coordinate value N is increased by B1 due to the coloring power of the first base coating film 4. As a result, the logarithmic increase tendency of the color coordinate value N accompanying the increase in the film thickness Y of the second base coating film 5 is as shown in FIG. In the figure, B1 (α) is a case where the coating color of the first base coating film 4 is close to the coating color of the second base coating film 5 (a case where the amount of colorant in the first base coating film 4 is large), B1 (β) is a case where the coating color of the first base coating film 4 is far from the coating color of the second base coating film 5 (a case where the amount of colorant in the first base coating film 4 is small).

そこで、本発明では上記色座標値Nの増大特性を踏まえ、色座標値Nを次の着色モデル式(1)で近似して表す。   Therefore, in the present invention, based on the increase characteristic of the color coordinate value N, the color coordinate value N is approximated by the following coloring model equation (1).

N=B1+B2=P−(P−B1)×exp(−AXY) ……(1)     N = B1 + B2 = P− (P−B1) × exp (−AXY) (1)

ここに、着色剤着色力Aは、当該着色剤を用いて調製した積層塗膜サンプルについて実測したN値、P値、B1値、X値及びY値を上記モデル式(1)に代入して得ることができる。この点は後述する。   Here, the coloring agent coloring power A is obtained by substituting the measured N value, P value, B1 value, X value, and Y value for the laminated coating film sample prepared using the coloring agent into the model equation (1). Can be obtained. This point will be described later.

参考のために、モデル式(1)において、仮にP=100、B1=20、A=10を与えたときの、着色剤濃度Xが1%(質量分率0.01)であるとき、2%(質量分率0.02)であるとき、並びに3%(質量分率0.03)であるときの、各々における色座標値Nの膜厚Yによる変化特性を図4に示す。   For reference, in the model formula (1), when P = 100, B1 = 20, and A = 10, the colorant concentration X is 1% (mass fraction 0.01), and 2 FIG. 4 shows the change characteristics depending on the film thickness Y of the color coordinate value N in each case of% (mass fraction 0.02) and 3% (mass fraction 0.03).

2.積層塗膜2の目標色座標値の上限及び下限の設定
塗装条件を変えた種々のサンプルを作製し、発色意図に適合する積層塗膜が得られたサンプルの色座標値を測色計で測定し、目標色座標値の上限TH及び下限TLを設定する。
2. Setting the upper and lower limits of the target color coordinate value of the multilayer coating 2 Create various samples with different coating conditions, and measure the color coordinate values of the samples from which the multilayer coating conforming to the color development intention was obtained with a colorimeter Then, the upper limit TH and the lower limit TL of the target color coordinate value are set.

3.第2ベース塗膜5の膜厚変動率Zの設定
第2ベース塗膜5の塗装を行なったときの実測膜厚の平均値Yとこの平均値Yから変動幅ΔYとに基いて、膜厚変動率Z=ΔY/Yを設定する。なお、この膜厚変動率Zは、通常は塗装方法に応じて決まり、目標膜厚の大小に拘わらず略一定になる。
3. Based from the average value Y A of the average value Y A Toko actually measured film thickness when performing coating of the second base coating film setting 5 thickness variation rate Z second base coating film 5 in the fluctuation width [Delta] Y, setting the thickness variation rate Z = ΔY / Y a. The film thickness variation rate Z is normally determined according to the coating method, and is substantially constant regardless of the target film thickness.

4.色座標値B1,B2及び着色剤濃度Xの算出式の設定
第2ベース塗膜5の膜厚に変動があっても、得られる積層塗膜2の色座標値Nが目標色座標値の上限THを越えないように、且つ上記下限TLを下回らないようにしなければならない。そこで、図5に示すように、第2ベース塗膜5の目標膜厚をYtとするとき、目標膜厚Ytの下限値Yt(1−Z)において積層塗膜2の色座標値Nが目標色座標値の下限TLとなり、上限値Yt(1+Z)において目標色座標値の上限THとなるとする。すなわち、モデル式(1)に上限TH、下限TL及び膜厚変動率Zを与えると、次式(2)及び(3)が得られる。
4). Setting of calculation formulas for color coordinate values B1 and B2 and colorant concentration X Even if the film thickness of the second base coating film 5 varies, the color coordinate value N of the obtained multilayer coating film 2 is the upper limit of the target color coordinate value. It is necessary not to exceed TH and not to fall below the lower limit TL. Therefore, as shown in FIG. 5, when the target film thickness of the second base coating film 5 is Yt, the color coordinate value N of the laminated coating film 2 is the target at the lower limit value Yt (1-Z) of the target film thickness Yt. It is assumed that the color coordinate value becomes the lower limit TL, and the upper limit value Yt (1 + Z) becomes the upper limit TH of the target color coordinate value. That is, when the upper limit TH, the lower limit TL, and the film thickness variation rate Z are given to the model formula (1), the following formulas (2) and (3) are obtained.

TL=P−(P−B1)×exp{−AXY(1−Z)} ……(2)
TH=P−(P−B1)×exp{−AXY(1+Z)} ……(3)
TL = P− (P−B1) × exp {−AXY (1-Z)} (2)
TH = P− (P−B1) × exp {−AXY (1 + Z)} (3)

式(2)、(3)の連立方程式をB1について解くと、次式(4)が得られ、第1ベース塗膜4の色座標値B1が、P値、TL値、TH値及びZ値から求まる。   Solving the simultaneous equations of equations (2) and (3) with respect to B1, the following equation (4) is obtained, and the color coordinate value B1 of the first base coating film 4 is P value, TL value, TH value and Z value. Obtained from

(P−TL)/(P−B1)=exp{−AXY(1−Z)}
(P−TH)/(P−B1)=exp{−AXY(1+Z)}
ln{(P−TL)/(P−B1)}=−AXY(1−Z)
ln{(P−TH)/(P−B1)}=−AXY(1+Z)
(P−TL)1+Z/(P−TH)1−Z=(P−B1)2Z
B1=P−{(P−TL)1+Z/(P−TH)1−Z}1/2Z ……(4)
(P-TL) / (P-B1) = exp {-AXY (1-Z)}
(P-TH) / (P-B1) = exp {-AXY (1 + Z)}
ln {(P-TL) / (P-B1)} =-AXY (1-Z)
ln {(P-TH) / (P-B1)} =-AXY (1 + Z)
(P-TL) 1 + Z / (P-TH) 1-Z = (P-B1) 2Z
B1 = P-{(P-TL) 1 + Z / (P-TH) 1-Z } 1 / 2Z (4)

式(2)、(3)の連立方程式をAXYついて解くと、次式(5)が得られ、次式(5)が得られ、第2ベース塗膜5の着色剤濃度Xが、P値、TL値、TH値、Z値、着色剤の着色力A及び目標膜厚Ytから求まる。   Solving the simultaneous equations of equations (2) and (3) with respect to AXY, the following equation (5) is obtained, and the following equation (5) is obtained, and the colorant concentration X of the second base coating film 5 is P value. , TL value, TH value, Z value, coloring power A of the colorant, and target film thickness Yt.

(P−TL)/(P−TH)=(P−B1)exp{−AXY(1−Z)}/(P−B1)exp{−A XY(1+Z)}
={exp(AXYZ)}
AXY=(1/2Z)・ln{(P−TL)/(P−TH)} ……(5)
(P-TL) / (P-TH) = (P-B1) exp {-AXY (1-Z)} / (P-B1) exp {-AXY (1 + Z)}
= {Exp (AXYZ)} 2
AXY = (1 / 2Z) · ln {(P-TL) / (P-TH)} (5)

第2ベース塗膜5の色座標値B2は、モデル式(1)から次式(6)で表すことができる。   The color coordinate value B2 of the second base coating film 5 can be expressed by the following equation (6) from the model equation (1).

B2=(P−B1){1−exp(−AXY)} ……(6)     B2 = (P−B1) {1-exp (−AXY)} (6)

以上のとおりであるが、色座標値B1,B2及び着色剤濃度Xの設定のためには、100%隠蔽が得られる色座標値P及び着色剤着色力Aを得る必要がある。   As described above, in order to set the color coordinate values B1 and B2 and the colorant concentration X, it is necessary to obtain the color coordinate value P and the colorant coloring power A at which 100% concealment is obtained.

5.100%隠蔽が得られる色座標値P及び着色剤着色力Aの決定
[色座標値の実測]
顔料濃度1%の第1ベース塗膜4上に、顔料濃度及び膜厚が異なる複数の第2ベース塗膜5を積層してなるサンプルを同じ塗装方法によって調製した。第1ベース塗膜4及び第2ベース塗膜5の顔料としてはいずれも赤を採用した。第2ベース塗膜5の顔料濃度は1%と2%の2種類であり、その膜厚は、6〜24μmの範囲で変化させた。そうして、各サンプルの積層塗膜の塗色のLab表色系におけるL座標、a座標及びb座標の各値をエックスライト社製分光測色計MA68IIによって反射角15゜で測定した。結果を表1及び図6〜8に示す。
5. Determination of color coordinate value P and colorant coloring power A at which 100% concealment is obtained
[Measurement of color coordinate values]
On the first base coating film 4 having a pigment concentration of 1% was prepared by the same coating method Sample pigment concentration and film thickness formed by laminating a second base coating film 5 of the different Do that several. As the pigment for the first base coating film 4 and the second base coating film 5, red was adopted. The pigment concentration of the second base coating film 5 was two types of 1% and 2%, and the film thickness was changed in the range of 6 to 24 μm. Then, each value of L coordinate, a coordinate and b coordinate in the Lab color system of the coating color of the laminated coating film of each sample was measured with a spectrophotometer MA68II manufactured by X-Rite at a reflection angle of 15 °. The results are shown in Table 1 and FIGS.

Figure 0005958312
Figure 0005958312

図6〜8によれば、実験に供した顔料の場合、L座標軸の吸収度合が変化する特性を有するため、以下では色座標値としてL座標値を採用して説明する。   According to FIGS. 6 to 8, since the pigment used in the experiment has a characteristic that the degree of absorption of the L coordinate axis changes, the following description will be made by adopting the L coordinate value as the color coordinate value.

[実測データのモデル式へのフィッティング]
上記測色計は白色光からサンプルによって吸収された光の量を検出して数値化するものである。そこで、この測色計で得られたL座標値を着色モデル式(1)にフィッティングするために、「L←100−L」の変換を行なう。その結果は表2及び図9に示すとおりである。
[Fitting of measured data to model formula]
The colorimeter detects and quantifies the amount of light absorbed by the sample from white light. Therefore, in order to fit the L coordinate value obtained by this colorimeter to the coloring model equation (1), a conversion of “L ← 100−L” is performed. The results are as shown in Table 2 and FIG.

Figure 0005958312
Figure 0005958312

図9のグラフを線形的に外挿して100%隠蔽が得られるL座標値P=63、第1ベース塗膜4のL座標値B1=35を得た。   The graph of FIG. 9 was extrapolated linearly to obtain an L coordinate value P = 63 at which 100% concealment was obtained, and an L coordinate value B1 = 35 of the first base coating film 4.

一方、モデル式(1)から次式(7)が得られる。   On the other hand, the following equation (7) is obtained from the model equation (1).

exp(−AXY)=(P−L)/(P−B1)
AXY=−ln{(P−L)/(P−B1)} ……(7)
exp (-AXY) = (PL) / (P-B1)
AXY = −ln {(PL) / (P−B1)} (7)

P=63、B1=35、並びに表2の変換色座標値Lを式(7)に代入してAXY値を求めた。結果を表3及び図10に示す。   An AXY value was obtained by substituting P = 63, B1 = 35, and the converted color coordinate value L in Table 2 into Equation (7). The results are shown in Table 3 and FIG.

Figure 0005958312
Figure 0005958312

図10によれば、第2ベース塗膜5の膜厚の増大に伴ってAXY値が直線的に(略正比例で)増大しており、AXY値が塗膜の着色力を表していることがわかる。   According to FIG. 10, the AXY value increases linearly (substantially in proportion) with an increase in the film thickness of the second base coating film 5, and the AXY value represents the coloring power of the coating film. Recognize.

以下では簡単のために顔料濃度2%のケースに限って説明を続ける。表3のAXY値を膜厚Yで割って単位膜厚当たりの値AXに変換する。結果を表4に示す。   In the following, for the sake of simplicity, the description will be continued only for the case of a pigment concentration of 2%. The AXY value in Table 3 is divided by the film thickness Y to be converted into a value AX per unit film thickness. The results are shown in Table 4.

Figure 0005958312
Figure 0005958312

表4のAX値を顔料濃度X(質量分率0.02)で割り、平均をとって、顔料着色力A=4.342を得た。   The AX value in Table 4 was divided by the pigment concentration X (mass fraction 0.02), and the average was obtained to obtain the pigment coloring power A = 4.342.

6.L座標値に関する実測値と理論値の比較
上記5で得られたP=63、B1=35及びA=4.342、並びに顔料濃度X(質量分率0.02)を用い、モデル式(1)に基いて積層塗膜のL座標値(理論値)を求めた。結果を実測値と併せて表5及び図11に示す。なお、L座標値(理論値)は実測値に対応させるために、モデル式(1)に基く計算値に対して再度「L←100−L」の変換を行なっている。
6). Comparison of Measured Value and Theoretical Value for L Coordinate Value Using P = 63, B1 = 35 and A = 4.342 obtained in 5 above, and pigment concentration X (mass fraction 0.02), model equation (1 ) To determine the L coordinate value (theoretical value) of the laminated coating film. The results are shown in Table 5 and FIG. Note that the L coordinate value (theoretical value) is converted again to “L ← 100−L” with respect to the calculated value based on the model equation (1) in order to correspond to the actually measured value.

Figure 0005958312
Figure 0005958312

図11において、各プロットは実測値を示し、特性線Lは理論値を示す。同図によれば、理論値が実測値によく合致していることがわかる。   In FIG. 11, each plot shows an actual measurement value, and a characteristic line L shows a theoretical value. According to the figure, it can be seen that the theoretical values are in good agreement with the measured values.

7.膜厚変動率Zに応じたB1、B2及び顔料濃度Xの設定
積層塗膜2の目標L座標値の上限をTH=45に、その下限をTL=40に設定し、且つ図11の結果を踏まえて、P=63、A=4.342として、膜厚変動率Zに対するB1を式(4)によって求め、膜厚変動率Zに対するB2を式(5)及び(6)によって求める。
7). Setting of B1, B2 and pigment concentration X according to film thickness variation rate Z The upper limit of the target L coordinate value of the laminated coating film 2 is set to TH = 45, the lower limit thereof is set to TL = 40, and the result of FIG. Based on this, assuming that P = 63 and A = 4.342, B1 with respect to the film thickness variation rate Z is obtained by the equation (4), and B2 with respect to the film thickness variation rate Z is obtained by the equations (5) and (6).

B1=P−{(P−TL)1+Z/(P−TH)1−Z}1/2Z ……(4)
AXY=(1/2Z)・ln{(P−TL)/(P−TH)} ……(5)
B2=(P−B1){1−exp(−AXY)} ……(6)
B1 = P-{(P-TL) 1 + Z / (P-TH) 1-Z } 1 / 2Z (4)
AXY = (1 / 2Z) · ln {(P-TL) / (P-TH)} (5)
B2 = (P−B1) {1-exp (−AXY)} (6)

結果を図12に示す。第2ベース塗膜5の目標膜厚Ytが12μm、膜厚変動が12±2μmであるとき、膜厚変動率はZ=0.167となる。このケースでは、Z=0.167のとき、B1=21.16、B2=21.49、AXY=0.7209となる。A=4.342、目標膜厚Yt=12μmであるから、目的とする顔料濃度Xは、質量分率で0.01387(約1.4%)となる。   The results are shown in FIG. When the target film thickness Yt of the second base coating film 5 is 12 μm and the film thickness variation is 12 ± 2 μm, the film thickness variation rate is Z = 0.167. In this case, when Z = 0.167, B1 = 21.16, B2 = 2.49, and AXY = 0.7209. Since A = 4.342 and the target film thickness Yt = 12 μm, the target pigment concentration X is 0.01387 (about 1.4%) in mass fraction.

積層塗膜2の目標L座標値の上限をTH=43に、その下限をTL=40に設定すると、膜厚変動率Zに対するB1及びB2の変動特性は図13のグラフのようになる。このケースでは、膜厚変動率がZ=0.167であるとき、B1=30.65、B2=10.90、AXY=0.4111となる。A=4.342、目標膜厚Yt=12μmであるから、このケースの目的とする顔料濃度Xは、質量分率で0.0078893(約0.8%)となる。   When the upper limit of the target L coordinate value of the laminated coating film 2 is set to TH = 43 and the lower limit thereof is set to TL = 40, the fluctuation characteristics of B1 and B2 with respect to the film thickness fluctuation rate Z are as shown in the graph of FIG. In this case, when the film thickness variation rate is Z = 0.167, B1 = 30.65, B2 = 10.90, and AXY = 0.4111. Since A = 4.342 and the target film thickness Yt = 12 μm, the target pigment concentration X in this case is 0.0078893 (about 0.8%) in mass fraction.

後者のケースのように、積層塗膜2の目標色座標値の上限THと下限TLとの幅が狭い場合は、第2ベース塗膜5に対する塗色変動の制限要求が厳しくなる。この点に関し、本発明によれば、上述の如く、上限THと下限TLとの幅が狭くなるほど、第1ベース塗膜4のB1が大になり(塗色が濃くなり)、第2ベース塗膜5のB2が小になる(顔料濃度Xが低くなって塗色が薄くなる)から、上記制限要求に自動的に応ずることができる効果が得られる。   As in the latter case, when the width between the upper limit TH and the lower limit TL of the target color coordinate value of the laminated coating film 2 is narrow, the requirement for limiting the coating color variation on the second base coating film 5 becomes severe. In this regard, according to the present invention, as described above, as the width between the upper limit TH and the lower limit TL becomes narrower, B1 of the first base coating film 4 becomes larger (the coating color becomes darker), and the second base coating is performed. Since B2 of the film 5 becomes small (the pigment concentration X becomes low and the coating color becomes light), the effect of being able to automatically meet the restriction request is obtained.

なお、先にも述べたが、上記実施形態は本発明の例示に過ぎず、顔料の種類によってはa軸やb軸の色座標値、或いは三次元の色座標値に基いて積層塗膜の諸元を設定することができ、さらには、XYZ、RGBなど他の表色系にも本発明は応用することができる。また、着色剤として染料を採用する場合も、上記実施形態に倣って積層塗膜の諸元を設定することができる。   As described above, the above embodiment is merely an example of the present invention, and depending on the type of pigment, the color of the a-axis or b-axis or the three-dimensional color coordinate value of the laminated coating film Specifications can be set, and the present invention can also be applied to other color systems such as XYZ and RGB. Moreover, also when employ | adopting dye as a coloring agent, the specification of a laminated coating film can be set according to the said embodiment.

また、上記実施形態は第2ベース塗膜を第1ベース塗膜の表面に直接積層したケースであるが、第1ベース塗膜と第2ベース塗膜との間に透明クリヤ塗膜が介在するケースであっても本発明は適用可能である。   Moreover, although the said embodiment is a case which laminated | stacked the 2nd base coating film directly on the surface of the 1st base coating film, a transparent clear coating film intervenes between a 1st base coating film and a 2nd base coating film. Even in cases, the present invention is applicable.

1 車体(鋼板)
2 積層塗膜
3 電着塗膜
4 第1ベース塗膜(メタリックベース塗膜)
5 第2ベース塗膜
6 クリヤ塗膜
7 光輝材
8 顔料
9 中塗り塗膜
1 Body (steel plate)
2 Laminated coating 3 Electrodeposition coating 4 First base coating (metallic base coating)
5 Second base coating 6 Clear coating 7 Bright material 8 Pigment 9 Intermediate coating

Claims (4)

着色剤として顔料又は染料を含有し下地を隠蔽する第1ベース塗膜と、この第1ベース塗膜の上側に積層され着色剤として顔料又は染料を含有し且つ可視光線透過性を有する第2ベース塗膜とによって特定色を発色させるようにした積層塗膜において、その発色のための諸元を設定する方法であって、
上記積層塗膜の塗色を、上記第2ベース塗膜の着色剤濃度X及び膜厚Yを変数として指数関数的に変化する色空間上の色座標値Nで表すモデルを設定するステップと、
上記積層塗膜によって上記特定色を発色させるための目標とする色座標値の上限THと下限TLとを設定するステップと、
上記第2ベース塗膜の実塗装時の目標膜厚Ytと該目標膜厚Ytを基準とする膜厚変動率Zを設定するステップと、
上記モデルに基いて、上記第2ベース塗膜の膜厚Yが膜厚変動幅の下限値であるときに上記色座標値Nが上記目標色座標値の下限TLとなり、上記第2ベース塗膜の膜厚Yが膜厚変動幅の上限値であるときに上記色座標値Nが上記目標色座標値の上限THとなる条件下に、上記膜厚変動率Zに応じた、上記第1ベース塗膜の色座標値B1及び上記第2ベース塗膜の着色剤濃度Xを設定するステップとを備えていることを特徴とする積層塗膜諸元の設定方法。
A first base coating film containing a pigment or a dye as a colorant and concealing the underlayer, and a second base laminated on the upper side of the first base coating film and containing a pigment or a dye as a colorant and having visible light transmittance A method of setting specifications for the color development in a multilayer coating film designed to develop a specific color depending on the coating film,
Setting a model that expresses the coating color of the laminated coating film as a color coordinate value N on a color space that changes exponentially with the colorant concentration X and the film thickness Y of the second base coating film as variables;
Setting an upper limit TH and a lower limit TL of target color coordinate values for causing the specific color to be developed by the laminated coating film;
Setting a target film thickness Yt during actual coating of the second base coating film and a film thickness variation rate Z based on the target film thickness Yt;
Based on the model, when the film thickness Y of the second base coating film is the lower limit value of the film thickness fluctuation range, the color coordinate value N becomes the lower limit TL of the target color coordinate value, and the second base coating film The first base corresponding to the film thickness variation rate Z under the condition that the color coordinate value N is the upper limit TH of the target color coordinate value when the film thickness Y is the upper limit value of the film thickness variation width. A step of setting a color coordinate value B1 of the coating film and a colorant concentration X of the second base coating film.
請求項1において、
上記モデルを設定するステップにおいて、上記積層塗膜の塗色を色空間上の色座標値Nで表す次の着色モデル式(1)を設定し、
N=P−(P−B1)×exp(−AXY) ……(1)
(但し、Pは当該色空間における100%隠蔽が得られる色座標値、Xは上記第2ベース塗膜の着色剤濃度(質量分率)、Yは上記第2ベース塗膜の膜厚(μm)、Aは、上記着色剤を用いて調製した積層塗膜サンプルについて実測したN値、P値、B1値、X値及びY値を上記モデル式(1)に代入して得られる上記着色剤の着色力である。)
上記第2ベース塗膜の膜厚がYt(1+Z)であるときに上記色座標値Nが上記目標色座標値の上限THとなり、上記第2ベース塗膜の膜厚がYt(1−Z)であるときに上記色座標値Nが上記目標色座標値の下限TLとなる条件下に、上記モデル式(1)に基いて、上記膜厚変動率Zに応じた上記第1ベース塗膜の色座標値B1及び上記第2ベース塗膜の着色剤濃度Xを設定することを特徴とする積層塗膜諸元の設定方法。
In claim 1,
In the step of setting the model, the following coloring model formula (1) expressing the coating color of the laminated coating film by the color coordinate value N in the color space is set:
N = P− (P−B1) × exp (−AXY) (1)
(Where P is a color coordinate value at which 100% concealment is obtained in the color space, X is the colorant concentration (mass fraction) of the second base coating film, and Y is the film thickness (μm of the second base coating film). ), A is the colorant obtained by substituting the measured N value, P value, B1 value, X value, and Y value for the laminated coating film sample prepared using the colorant into the model equation (1). The coloring power of
When the film thickness of the second base coating film is Yt (1 + Z), the color coordinate value N is the upper limit TH of the target color coordinate value, and the film thickness of the second base coating film is Yt (1-Z). Of the first base coating film according to the film thickness variation rate Z based on the model equation (1) under the condition that the color coordinate value N is the lower limit TL of the target color coordinate value. A method for setting the specifications of the laminated coating film, wherein the color coordinate value B1 and the colorant concentration X of the second base coating film are set.
請求項1又は請求項2において、
上記第1ベース塗膜は、上記着色剤及び光輝材を含有するメタリックベース塗膜であることを特徴とする積層塗膜諸元の設定方法。
In claim 1 or claim 2,
The first base coating film is a metallic base coating film containing the colorant and brilliant material.
請求項1乃至請求項3のいずれか一において、
上記第2ベース塗膜は、上記特定色の光線透過率が55%以上であり、上記特定色の色相をマンセル色相環の中央値としてマンセル色相環を百分割し左廻り+50、右廻り−50で色相範囲を表示したときの−25以上+25以下を特定色の色相範囲としたとき、この色相範囲外の波長域の平均光線透過率が50%以下であることを特徴とする積層塗膜諸元の設定方法。
In any one of Claim 1 thru | or 3,
The second base coating film has a light transmittance of 55% or more for the specific color. The hue of the specific color is set to the median value of the Munsell hue ring. When the hue range is -25 or more and +25 or less when the hue range is displayed as the hue range of the specific color, the average light transmittance in the wavelength region outside this hue range is 50% or less. The original setting method.
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