技術領域

本發明(ming)涉(she)及(ji)一(yi)(yi)種(zhong)傳(chuan)感(gan)(gan)器及(ji)其制造(zao)方法，特別涉(she)及(ji)一(yi)(yi)種(zhong)用(yong)于在某(mou)一(yi)(yi)狹小接觸區域中(zhong)對一(yi)(yi)點(dian)接觸物(wu)體間的(de)壓力(li)或集中(zhong)力(li)進行檢(jian)測的(de)柔性單點(dian)力(li)片式(shi)傳(chuan)感(gan)(gan)器及(ji)其制造(zao)方法。

背景技術

壓力(li)(li)傳(chuan)(chuan)(chuan)感器(qi)及檢(jian)(jian)(jian)測(ce)技術在航(hang)空航(hang)天、軍(jun)事工業(ye)、汽車、船舶制造(zao)、工業(ye)自動(dong)(dong)化、醫(yi)學研(yan)究(jiu)、生物(wu)(wu)(wu)醫(yi)療等領(ling)域(yu)中(zhong)(zhong)發揮著重(zhong)要的作(zuo)(zuo)用。然而在上述應用領(ling)域(yu)，許多(duo)場(chang)合需在某(mou)一(yi)狹(xia)小空間(jian)中(zhong)(zhong)對某(mou)一(yi)點接(jie)觸(chu)物(wu)(wu)(wu)體(ti)間(jian)的壓力(li)(li)或(huo)集(ji)中(zhong)(zhong)力(li)(li)進行檢(jian)(jian)(jian)測(ce)，例如點接(jie)觸(chu)物(wu)(wu)(wu)體(ti)間(jian)在運動(dong)(dong)過(guo)程中(zhong)(zhong)摩擦力(li)(li)相互(hu)作(zuo)(zuo)用過(guo)程的研(yan)究(jiu)、例如檢(jian)(jian)(jian)測(ce)空間(jian)凸(tu)輪與滾子從動(dong)(dong)件處于(yu)點接(jie)觸(chu)狀態(tai)下(xia)的相互(hu)作(zuo)(zuo)用力(li)(li)、檢(jian)(jian)(jian)測(ce)某(mou)一(yi)對牙齒嚙合時(shi)的相互(hu)作(zuo)(zuo)用力(li)(li)等。由于(yu)受到傳(chuan)(chuan)(chuan)感器(qi)重(zhong)量、體(ti)積以及工作(zuo)(zuo)空間(jian)(如狹(xia)縫)的限制，這時(shi)傳(chuan)(chuan)(chuan)統(tong)壓力(li)(li)傳(chuan)(chuan)(chuan)感器(qi)便(bian)不(bu)能用于(yu)上述場(chang)合下(xia)的使用來檢(jian)(jian)(jian)測(ce)某(mou)一(yi)點接(jie)觸(chu)物(wu)(wu)(wu)體(ti)間(jian)的壓力(li)(li)或(huo)集(ji)中(zhong)(zhong)力(li)(li)。即便(bian)勉(mian)強使用，也不(bu)能滿足(zu)操(cao)作(zuo)(zuo)便(bian)捷的要求，

發明內容

本(ben)發明針(zhen)對傳(chuan)(chuan)統壓(ya)力傳(chuan)(chuan)感(gan)器(qi)(qi)不能對某(mou)一(yi)(yi)點接(jie)觸物體(ti)間壓(ya)力進行檢測、體(ti)積大、重(zhong)(zhong)量(liang)(liang)重(zhong)(zhong)、操作(zuo)不方便的(de)缺點；提(ti)供了(le)一(yi)(yi)種能夠檢測出某(mou)一(yi)(yi)點接(jie)觸物體(ti)間壓(ya)力的(de)柔性單點力片式傳(chuan)(chuan)感(gan)器(qi)(qi)，該傳(chuan)(chuan)感(gan)器(qi)(qi)具有體(ti)積小、重(zhong)(zhong)量(liang)(liang)輕(qing)、制作(zuo)簡單、可低(di)成本(ben)批(pi)量(liang)(liang)化生產的(de)特點，并且可重(zhong)(zhong)復使用、操作(zuo)簡便。

本發明(ming)的(de)另一(yi)個目的(de)是提供一(yi)種該傳感器(qi)的(de)制造方法。

為達到上述目的(de)，本發(fa)明(ming)是采取如下(xia)技(ji)術方案予以(yi)實現的(de)：

一種柔性(xing)單點力(li)片式傳感(gan)器(qi)，包(bao)括壓(ya)敏(min)體(ti)(ti)(ti)、分(fen)別(bie)設(she)(she)(she)(she)置(zhi)(zhi)(zhi)(zhi)在(zai)(zai)壓(ya)敏(min)體(ti)(ti)(ti)上(shang)(shang)下端面的(de)(de)(de)兩個電(dian)(dian)(dian)極(ji)(ji)連(lian)接片，其(qi)特征在(zai)(zai)于，還包(bao)括有(you)形狀大小(xiao)(xiao)相(xiang)同的(de)(de)(de)上(shang)(shang)基(ji)(ji)板(ban)和下基(ji)(ji)板(ban)，上(shang)(shang)、下基(ji)(ji)板(ban)之間(jian)由粘(zhan)接層封(feng)接；在(zai)(zai)上(shang)(shang)基(ji)(ji)板(ban)長(chang)(chang)度(du)方(fang)向的(de)(de)(de)一側設(she)(she)(she)(she)置(zhi)(zhi)(zhi)(zhi)有(you)一凸起(qi)；在(zai)(zai)相(xiang)對該凸起(qi)的(de)(de)(de)下基(ji)(ji)板(ban)上(shang)(shang)設(she)(she)(she)(she)置(zhi)(zhi)(zhi)(zhi)有(you)一凹陷(xian)(xian)，該凹陷(xian)(xian)與所述凸起(qi)之間(jian)形成一個密閉的(de)(de)(de)壓(ya)敏(min)體(ti)(ti)(ti)室，其(qi)中(zhong)封(feng)裝有(you)所述的(de)(de)(de)壓(ya)敏(min)體(ti)(ti)(ti)及電(dian)(dian)(dian)極(ji)(ji)連(lian)接片，所述壓(ya)敏(min)體(ti)(ti)(ti)室的(de)(de)(de)大小(xiao)(xiao)剛好(hao)與壓(ya)敏(min)體(ti)(ti)(ti)的(de)(de)(de)大小(xiao)(xiao)吻合(he)；所述下基(ji)(ji)板(ban)1沿(yan)其(qi)長(chang)(chang)度(du)方(fang)向設(she)(she)(she)(she)置(zhi)(zhi)(zhi)(zhi)有(you)兩條相(xiang)互(hu)平行的(de)(de)(de)印刷(shua)電(dian)(dian)(dian)極(ji)(ji)6，每個印刷(shua)電(dian)(dian)(dian)極(ji)(ji)分(fen)別(bie)連(lian)接位(wei)于壓(ya)敏(min)體(ti)(ti)(ti)上(shang)(shang)或(huo)下端面的(de)(de)(de)電(dian)(dian)(dian)極(ji)(ji)連(lian)接片9和伸出(chu)下基(ji)(ji)板(ban)的(de)(de)(de)電(dian)(dian)(dian)極(ji)(ji)引(yin)出(chu)片3；所述下基(ji)(ji)板(ban)上(shang)(shang)的(de)(de)(de)兩條印刷(shua)電(dian)(dian)(dian)極(ji)(ji)6從連(lian)接電(dian)(dian)(dian)極(ji)(ji)連(lian)接片9到連(lian)接電(dian)(dian)(dian)極(ji)(ji)引(yin)出(chu)片3一段的(de)(de)(de)上(shang)(shang)表面設(she)(she)(she)(she)置(zhi)(zhi)(zhi)(zhi)有(you)電(dian)(dian)(dian)極(ji)(ji)保護膜。

一種上述柔性單點力片式傳感器的制(zhi)造方法，其特征(zheng)在于，包括如下步驟(zou)：

a.先制備形狀大小相同的上(shang)(shang)基板(ban)和下(xia)基板(ban)，在上(shang)(shang)基板(ban)長度方向的一(yi)側(ce)設置一(yi)凸起(qi)(qi)；在相對(dui)該凸起(qi)(qi)的下(xia)基板(ban)上(shang)(shang)設置一(yi)凹陷；

b.將下基板(ban)(ban)1固定在絲(si)網印刷(shua)機的(de)(de)印刷(shua)臺上(shang)，用導(dao)電(dian)料漿沿下基板(ban)(ban)長度(du)方向從遠(yuan)離凹(ao)陷一(yi)側到凹(ao)陷的(de)(de)上(shang)表面印制(zhi)兩(liang)條印刷(shua)電(dian)極，干燥(zao)后，在下基板(ban)(ban)遠(yuan)離凹(ao)陷的(de)(de)一(yi)側設置(zhi)兩(liang)個外露的(de)(de)電(dian)極引出片(pian)3。

c.在(zai)下基(ji)板(ban)(ban)凹陷中涂(tu)敷(fu)壓敏(min)(min)(min)電(dian)阻油(you)墨，并放置一個壓敏(min)(min)(min)體，該(gai)壓敏(min)(min)(min)體上(shang)(shang)、下端(duan)面(mian)(mian)事先(xian)分(fen)別(bie)焊接好兩(liang)(liang)個電(dian)極(ji)連(lian)接片(pian)9，位于壓敏(min)(min)(min)體上(shang)(shang)、下端(duan)面(mian)(mian)的兩(liang)(liang)電(dian)極(ji)連(lian)接片(pian)9分(fen)別(bie)連(lian)接至位于下基(ji)板(ban)(ban)上(shang)(shang)的兩(liang)(liang)條印刷(shua)電(dian)極(ji)6的一端(duan)，兩(liang)(liang)條印刷(shua)電(dian)極(ji)6的另一端(duan)連(lian)接外(wai)露的兩(liang)(liang)個電(dian)極(ji)引出片(pian)3；同時，在(zai)上(shang)(shang)基(ji)板(ban)(ban)4的凸(tu)起內表面(mian)(mian)上(shang)(shang)涂(tu)敷(fu)壓敏(min)(min)(min)電(dian)阻油(you)墨。

d.在下(xia)基(ji)板(ban)的(de)兩條印刷(shua)電(dian)(dian)極(ji)6上從連(lian)接電(dian)(dian)極(ji)連(lian)接片(pian)9到連(lian)接電(dian)(dian)極(ji)引出片(pian)3的(de)一(yi)段(duan)上表面涂敷一(yi)層電(dian)(dian)極(ji)保護膜并干(gan)燥。

e.將上、下基板(ban)用粘接層復合，使所述凸起與凹陷之間形成一個(ge)的(de)密閉壓敏(min)體(ti)室，將壓敏(min)體(ti)及(ji)電極(ji)連接片封(feng)裝(zhuang)在其(qi)內，壓敏(min)體(ti)室的(de)大(da)小剛好與壓敏(min)體(ti)的(de)大(da)小吻合，同時兩(liang)條印刷電極(ji)相互平行。

以上方(fang)法中，所(suo)述(shu)的(de)印刷電(dian)極用(yong)(yong)(yong)導電(dian)漿料(liao)(liao)(liao)為銀導電(dian)漿料(liao)(liao)(liao)；所(suo)述(shu)的(de)電(dian)極保護膜材(cai)料(liao)(liao)(liao)采(cai)(cai)用(yong)(yong)(yong)羥(qian)乙(yi)基纖維素(su)；所(suo)述(shu)的(de)壓敏電(dian)阻油(you)墨采(cai)(cai)用(yong)(yong)(yong)碳二硫(liu)化鉬油(you)墨；所(suo)述(shu)的(de)上、下(xia)基板采(cai)(cai)用(yong)(yong)(yong)聚(ju)氯(lv)乙(yi)烯材(cai)料(liao)(liao)(liao)制成矩形基片；所(suo)述(shu)的(de)粘(zhan)接層采(cai)(cai)用(yong)(yong)(yong)環(huan)氧樹脂。

本發(fa)明的柔性單點力片式(shi)傳(chuan)感器不需要外(wai)加保(bao)護裝(zhuang)置，不用將壓敏電(dian)(dian)阻(zu)直接(jie)置入被(bei)測對象內部，只需將被(bei)測對象的點接(jie)觸部位與(yu)壓敏電(dian)(dian)阻(zu)所對應的壓敏體室的聚(ju)(ju)氯(lv)乙(yi)烯PVC絕緣基片直接(jie)接(jie)觸即可(ke)；同(tong)時壓敏電(dian)(dian)阻(zu)材料在工(gong)作過(guo)程中始(shi)終受到了聚(ju)(ju)氯(lv)乙(yi)烯PVC片的絕緣保(bao)護。由于兩條銀(yin)導電(dian)(dian)電(dian)(dian)極均處于羥乙(yi)基纖維素HEC的絕緣保(bao)護下，可(ke)有效(xiao)防(fang)止兩電(dian)(dian)極間(jian)間(jian)距(ju)太小而引起(qi)的電(dian)(dian)子遷移所造成的電(dian)(dian)極間(jian)短路現象。該柔性單點力片式(shi)傳(chuan)感器只有電(dian)(dian)極引出片部分區(qu)域外(wai)露(lu)，因此(ci)具有抗強(qiang)干(gan)擾(rao)的優點。

本發明采用(yong)(yong)基于絲網印(yin)刷(shua)工藝的(de)(de)制(zhi)造方(fang)法，使制(zhi)得(de)的(de)(de)單點(dian)力(li)傳(chuan)感器具有重(zhong)量(liang)輕、體積小(xiao)(片狀)、成本低、制(zhi)作簡(jian)單、可批量(liang)化生(sheng)產的(de)(de)特點(dian)，并可重(zhong)復使用(yong)(yong)、操作便捷。該傳(chuan)感器可應用(yong)(yong)于工作空間狹小(xiao)的(de)(de)某(mou)一(yi)點(dian)接(jie)觸(chu)物體間的(de)(de)壓力(li)或集中力(li)的(de)(de)檢測以及類(lei)似(si)特殊應用(yong)(yong)場(chang)合。

附圖說明

圖1為(wei)本發明柔(rou)性單(dan)點(dian)力片(pian)式傳感器結構示意圖。圖中：1、下基(ji)板；2、粘接層；3、電極(ji)引出片(pian)；4、上基(ji)板；5、電極(ji)保(bao)護膜；6、印(yin)刷電極(ji)；7、壓敏體。

圖2為圖1的俯(fu)視其(qi)及印(yin)刷電(dian)極的局部(bu)剖視圖。圖中：8、上基板(ban)凸起；9、電(dian)極連接(jie)片(pian)。

圖(tu)3為圖(tu)2的(de)剖面(mian)圖(tu)。圖(tu)中：10、下基板(ban)凹陷(xian)。

圖(tu)4為本發明柔性單(dan)點力片式傳感器一個(ge)應用實例(li)的測量(liang)電路(lu)原理圖(tu)。

具(ju)體實施(shi)方(fang)式

下面(mian)結合附圖及(ji)實施例對本發(fa)明作進一步的詳細說明。

如圖1-圖3所示(shi)，一(yi)(yi)種柔性單點力片(pian)式傳感器，包(bao)括上基(ji)(ji)板(ban)(ban)4和下(xia)(xia)基(ji)(ji)板(ban)(ban)1、壓敏(min)體(ti)(ti)7、設置(zhi)在壓敏(min)體(ti)(ti)7垂直兩端(duan)面(mian)的(de)兩個(ge)(ge)電(dian)(dian)極(ji)(ji)連(lian)(lian)接(jie)(jie)片(pian)9，上、下(xia)(xia)基(ji)(ji)板(ban)(ban)之間由(you)(you)環氧樹脂粘接(jie)(jie)層2封接(jie)(jie)；上、下(xia)(xia)基(ji)(ji)板(ban)(ban)4、1可由(you)(you)聚氯乙烯(PVC)制成(cheng)相(xiang)同大小尺寸的(de)矩(ju)形(xing)基(ji)(ji)片(pian)；在靠(kao)近上基(ji)(ji)板(ban)(ban)4長(chang)度方向的(de)左(zuo)側(ce)(ce)設置(zhi)有(you)一(yi)(yi)凸(tu)(tu)(tu)起8；在相(xiang)對該(gai)凸(tu)(tu)(tu)起8的(de)下(xia)(xia)基(ji)(ji)板(ban)(ban)上設置(zhi)有(you)一(yi)(yi)凹(ao)(ao)陷(xian)10，該(gai)凹(ao)(ao)陷(xian)與凸(tu)(tu)(tu)起之間形(xing)成(cheng)一(yi)(yi)個(ge)(ge)的(de)密閉(bi)壓敏(min)體(ti)(ti)室，其中(zhong)封裝有(you)壓敏(min)體(ti)(ti)7及電(dian)(dian)極(ji)(ji)連(lian)(lian)接(jie)(jie)片(pian)9，壓敏(min)體(ti)(ti)室的(de)大小剛好與壓敏(min)體(ti)(ti)7的(de)大小吻合，壓敏(min)體(ti)(ti)7為(wei)圓(yuan)片(pian)或方塊(kuai)形(xing)壓敏(min)電(dian)(dian)阻；下(xia)(xia)基(ji)(ji)板(ban)(ban)1上設置(zhi)有(you)兩條沿其長(chang)度方向相(xiang)互平行的(de)印刷(shua)電(dian)(dian)極(ji)(ji)6，印刷(shua)電(dian)(dian)極(ji)(ji)6為(wei)銀導電(dian)(dian)帶(dai)狀薄膜。每條印刷(shua)電(dian)(dian)極(ji)(ji)在凹(ao)(ao)陷(xian)右(you)邊(bian)沿處的(de)一(yi)(yi)端(duan)連(lian)(lian)接(jie)(jie)一(yi)(yi)個(ge)(ge)電(dian)(dian)極(ji)(ji)連(lian)(lian)接(jie)(jie)片(pian)9；遠離(li)凹(ao)(ao)陷(xian)到下(xia)(xia)基(ji)(ji)板(ban)(ban)1右(you)側(ce)(ce)處的(de)另一(yi)(yi)端(duan)連(lian)(lian)接(jie)(jie)一(yi)(yi)個(ge)(ge)電(dian)(dian)極(ji)(ji)引出(chu)片(pian)3，該(gai)電(dian)(dian)極(ji)(ji)引出(chu)片(pian)3外露下(xia)(xia)基(ji)(ji)板(ban)(ban)右(you)側(ce)(ce)；印刷(shua)電(dian)(dian)極(ji)(ji)6從連(lian)(lian)接(jie)(jie)電(dian)(dian)極(ji)(ji)連(lian)(lian)接(jie)(jie)片(pian)9到連(lian)(lian)接(jie)(jie)電(dian)(dian)極(ji)(ji)引出(chu)片(pian)3的(de)一(yi)(yi)段(duan)上表面(mian)設置(zhi)有(you)電(dian)(dian)極(ji)(ji)保護(hu)(hu)膜5，該(gai)電(dian)(dian)極(ji)(ji)保護(hu)(hu)膜為(wei)羥(qian)乙基(ji)(ji)纖維素(HEC)膜層。

以上柔性單點力(li)片(pian)式傳感(gan)器制(zhi)造方法，包括下述(shu)步驟：

a.先制備形狀大(da)小相同(tong)的(de)上(shang)(shang)基(ji)板(ban)和下基(ji)板(ban)，在上(shang)(shang)基(ji)板(ban)長度方向的(de)一(yi)(yi)側設置(zhi)一(yi)(yi)凸(tu)起(qi)；在相對該(gai)凸(tu)起(qi)的(de)下基(ji)板(ban)上(shang)(shang)設置(zhi)一(yi)(yi)凹陷；

b.將下基板1固定在絲網(wang)印(yin)(yin)刷(shua)(shua)機(ji)的印(yin)(yin)刷(shua)(shua)臺上，用導電(dian)料漿沿下基板長(chang)度方向(xiang)從遠(yuan)離凹陷一側(ce)到凹陷的上表(biao)面印(yin)(yin)制兩條(tiao)印(yin)(yin)刷(shua)(shua)電(dian)極，干燥(zao)后，在下基板遠(yuan)離凹陷的一側(ce)設置兩個(ge)外露的電(dian)極引出片3。

c.在(zai)下(xia)基板(ban)凹陷中涂敷(fu)壓(ya)敏(min)電(dian)(dian)阻(zu)油(you)墨，并(bing)放置一(yi)個(ge)壓(ya)敏(min)體，該壓(ya)敏(min)體上(shang)、下(xia)端面事先(xian)分別焊接好兩(liang)個(ge)電(dian)(dian)極(ji)連接片9，位(wei)于壓(ya)敏(min)體上(shang)、下(xia)端面的(de)(de)(de)兩(liang)電(dian)(dian)極(ji)連接片9分別連接至位(wei)于下(xia)基板(ban)上(shang)的(de)(de)(de)兩(liang)條印(yin)刷(shua)電(dian)(dian)極(ji)6，兩(liang)條印(yin)刷(shua)電(dian)(dian)極(ji)6的(de)(de)(de)另一(yi)端連接外露的(de)(de)(de)兩(liang)個(ge)電(dian)(dian)極(ji)引出(chu)片3；同(tong)時，在(zai)上(shang)基板(ban)4的(de)(de)(de)凸起內表面上(shang)涂敷(fu)壓(ya)敏(min)電(dian)(dian)阻(zu)油(you)墨。

d.在下基板的兩(liang)條印刷電極(ji)6上從連接(jie)電極(ji)連接(jie)片(pian)9到連接(jie)電極(ji)引(yin)出(chu)片(pian)3的一段上表面涂敷一層電極(ji)保護(hu)膜并干燥。

e.將上、下基板(ban)用粘接層復合，使所述凸起與凹陷之間形(xing)成一(yi)個的密閉壓(ya)敏體(ti)室(shi)，將壓(ya)敏體(ti)及電極(ji)連接片封裝(zhuang)在(zai)其(qi)內，壓(ya)敏體(ti)室(shi)的大小(xiao)剛(gang)好與壓(ya)敏體(ti)的大小(xiao)吻(wen)合，同時兩條(tiao)印刷電極(ji)相互平行。

當上(shang)述(shu)絲(si)網印刷單點力片式傳(chuan)感(gan)器與外(wai)接(jie)(jie)電(dian)(dian)路連(lian)接(jie)(jie)并通過(guo)能正常工作的測試后，該傳(chuan)感(gan)器外(wai)露(lu)部分(fen)電(dian)(dian)極引出片3與外(wai)接(jie)(jie)導線連(lian)接(jie)(jie)部分(fen)用絕緣(yuan)硅膠將其覆蓋(gai)以防銀電(dian)(dian)極長期(qi)處于在空氣中被氧化而削弱或喪(sang)失了其導電(dian)(dian)性能。

本發明(ming)柔性(xing)單點(dian)力(li)片(pian)式(shi)傳感器的(de)(de)檢測原理如(ru)下：當處于點(dian)接觸(chu)狀(zhuang)態時物體間的(de)(de)一集(ji)中載(zai)荷(集(ji)中力(li))作用(yong)于壓(ya)敏電(dian)阻(zu)(zu)(zu)7上(shang)時，壓(ya)敏電(dian)阻(zu)(zu)(zu)因(yin)受(shou)到了(le)壓(ya)力(li)作用(yong)便(bian)發生了(le)一定(ding)的(de)(de)壓(ya)縮變(bian)(bian)形，從而引起(qi)了(le)壓(ya)敏電(dian)阻(zu)(zu)(zu)值的(de)(de)變(bian)(bian)化(hua)(hua)，反(fan)映在電(dian)路上(shang)便(bian)是兩銀(yin)導電(dian)電(dian)極6之間電(dian)壓(ya)值的(de)(de)改變(bian)(bian)；根據壓(ya)敏電(dian)阻(zu)(zu)(zu)上(shang)電(dian)壓(ya)值相對于最初電(dian)壓(ya)值的(de)(de)變(bian)(bian)化(hua)(hua)量便(bian)可反(fan)映出點(dian)接觸(chu)處壓(ya)力(li)或(huo)集(ji)中載(zai)荷的(de)(de)大小。集(ji)中載(zai)荷與軸(zhou)向(xiang)長度(du)(du)、電(dian)阻(zu)(zu)(zu)阻(zu)(zu)(zu)值與軸(zhou)向(xiang)長度(du)(du)的(de)(de)關系、電(dian)壓(ya)與電(dian)阻(zu)(zu)(zu)的(de)(de)關系如(ru)下：

ΔL=FLES---(1)

其中：L——壓敏(min)電(dian)阻的原(yuan)始(shi)厚(hou)度；

S——壓敏電阻的(de)橫截面面積；

F——作用于壓(ya)敏電(dian)阻上的集中(zhong)載荷；

E——壓敏電(dian)阻的(de)彈性模量；

ΔL——壓敏電阻油墨(mo)厚度的改變量(liang)。

R=ρLS---(2)

其中：L——壓敏(min)電(dian)阻油墨的厚度；

S——壓敏(min)電(dian)阻油墨的橫截面(mian)面(mian)積；

ρ——壓敏電阻油墨的電阻率；

R——壓敏電阻油墨的(de)電阻值。

                U＝IR        (3)

其中(zhong)：I——流經壓敏電阻的電流值；

R——壓(ya)敏(min)電阻油墨的(de)電阻值；

U——壓(ya)敏電阻油墨的電壓(ya)值；

如(ru)圖4所(suo)示(shi)(shi)，絲(si)網印刷單(dan)(dan)點(dian)力(li)(li)片(pian)式傳感器(qi)的(de)(de)(de)(de)(de)(de)(de)壓(ya)(ya)(ya)(ya)敏(min)電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)阻(zu)(zu)因為(wei)只受(shou)到(dao)軸向壓(ya)(ya)(ya)(ya)縮變(bian)(bian)(bian)形而引(yin)起了(le)(le)其(qi)阻(zu)(zu)值的(de)(de)(de)(de)(de)(de)(de)改(gai)(gai)變(bian)(bian)(bian)，因此在(zai)測量(liang)(liang)電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)路(lu)中壓(ya)(ya)(ya)(ya)敏(min)電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)阻(zu)(zu)可(ke)(ke)以被當(dang)作(zuo)電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)路(lu)中的(de)(de)(de)(de)(de)(de)(de)可(ke)(ke)變(bian)(bian)(bian)電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)阻(zu)(zu)對待；同(tong)時又由(you)(you)于(yu)壓(ya)(ya)(ya)(ya)敏(min)電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)阻(zu)(zu)的(de)(de)(de)(de)(de)(de)(de)改(gai)(gai)變(bian)(bian)(bian)引(yin)起了(le)(le)加(jia)在(zai)壓(ya)(ya)(ya)(ya)敏(min)電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)阻(zu)(zu)兩(liang)端(duan)(duan)電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)壓(ya)(ya)(ya)(ya)值的(de)(de)(de)(de)(de)(de)(de)改(gai)(gai)變(bian)(bian)(bian)，因此壓(ya)(ya)(ya)(ya)敏(min)電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)阻(zu)(zu)端(duan)(duan)電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)壓(ya)(ya)(ya)(ya)的(de)(de)(de)(de)(de)(de)(de)改(gai)(gai)變(bian)(bian)(bian)可(ke)(ke)以被當(dang)作(zuo)檢(jian)測電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)路(lu)的(de)(de)(de)(de)(de)(de)(de)輸入變(bian)(bian)(bian)量(liang)(liang)信(xin)(xin)(xin)號(hao)。由(you)(you)于(yu)單(dan)(dan)點(dian)力(li)(li)傳感器(qi)的(de)(de)(de)(de)(de)(de)(de)壓(ya)(ya)(ya)(ya)敏(min)電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)阻(zu)(zu)因外(wai)力(li)(li)作(zuo)用而引(yin)起了(le)(le)加(jia)在(zai)其(qi)兩(liang)端(duan)(duan)電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)壓(ya)(ya)(ya)(ya)的(de)(de)(de)(de)(de)(de)(de)改(gai)(gai)變(bian)(bian)(bian)，反(fan)(fan)相比(bi)例(li)放(fang)大(da)(da)(da)(da)電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)路(lu)的(de)(de)(de)(de)(de)(de)(de)輸入端(duan)(duan)恰好是壓(ya)(ya)(ya)(ya)敏(min)電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)阻(zu)(zu)端(duan)(duan)電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)壓(ya)(ya)(ya)(ya)的(de)(de)(de)(de)(de)(de)(de)改(gai)(gai)變(bian)(bian)(bian)端(duan)(duan)；因此壓(ya)(ya)(ya)(ya)敏(min)電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)阻(zu)(zu)端(duan)(duan)電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)壓(ya)(ya)(ya)(ya)的(de)(de)(de)(de)(de)(de)(de)改(gai)(gai)變(bian)(bian)(bian)必然(ran)(ran)引(yin)起了(le)(le)反(fan)(fan)相比(bi)例(li)放(fang)大(da)(da)(da)(da)電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)路(lu)I輸出電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)壓(ya)(ya)(ya)(ya)值的(de)(de)(de)(de)(de)(de)(de)改(gai)(gai)變(bian)(bian)(bian)，也(ye)就是說單(dan)(dan)點(dian)力(li)(li)傳感器(qi)受(shou)外(wai)力(li)(li)作(zuo)用是可(ke)(ke)以引(yin)起測量(liang)(liang)電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)路(lu)中相應電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)壓(ya)(ya)(ya)(ya)的(de)(de)(de)(de)(de)(de)(de)改(gai)(gai)變(bian)(bian)(bian)的(de)(de)(de)(de)(de)(de)(de)。當(dang)外(wai)力(li)(li)作(zuo)用于(yu)單(dan)(dan)點(dian)力(li)(li)傳感器(qi)后(hou)由(you)(you)于(yu)壓(ya)(ya)(ya)(ya)敏(min)電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)阻(zu)(zu)值的(de)(de)(de)(de)(de)(de)(de)改(gai)(gai)變(bian)(bian)(bian)而產生(sheng)了(le)(le)一定(ding)的(de)(de)(de)(de)(de)(de)(de)微弱電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)信(xin)(xin)(xin)號(hao)，通(tong)過(guo)反(fan)(fan)相比(bi)例(li)放(fang)大(da)(da)(da)(da)器(qi)I將該信(xin)(xin)(xin)號(hao)放(fang)大(da)(da)(da)(da)；然(ran)(ran)后(hou)再通(tong)過(guo)低通(tong)濾(lv)波(bo)器(qi)將其(qi)他高頻干(gan)擾信(xin)(xin)(xin)號(hao)過(guo)濾(lv)或者(zhe)去(qu)除(chu)；接著再通(tong)過(guo)反(fan)(fan)相比(bi)例(li)放(fang)大(da)(da)(da)(da)器(qi)II將電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)信(xin)(xin)(xin)號(hao)還原(yuan)到(dao)最初的(de)(de)(de)(de)(de)(de)(de)相位(wei)(因為(wei)前后(hou)經(jing)過(guo)了(le)(le)兩(liang)次反(fan)(fan)相放(fang)大(da)(da)(da)(da)，因此經(jing)過(guo)處(chu)理(li)(li)后(hou)的(de)(de)(de)(de)(de)(de)(de)信(xin)(xin)(xin)號(hao)可(ke)(ke)以恢復到(dao)原(yuan)來的(de)(de)(de)(de)(de)(de)(de)正電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)壓(ya)(ya)(ya)(ya)值，同(tong)時將微弱電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)信(xin)(xin)(xin)號(hao)值放(fang)大(da)(da)(da)(da)了(le)(le))；最后(hou)再通(tong)過(guo)A/D轉換(huan)器(qi)限壓(ya)(ya)(ya)(ya)轉換(huan)將外(wai)力(li)(li)引(yin)起的(de)(de)(de)(de)(de)(de)(de)并經(jing)過(guo)處(chu)理(li)(li)的(de)(de)(de)(de)(de)(de)(de)電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)信(xin)(xin)(xin)號(hao)轉換(huan)為(wei)計算機能識(shi)別的(de)(de)(de)(de)(de)(de)(de)數字電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)壓(ya)(ya)(ya)(ya)信(xin)(xin)(xin)號(hao)，當(dang)然(ran)(ran)也(ye)可(ke)(ke)以直(zhi)接將反(fan)(fan)相比(bi)例(li)放(fang)大(da)(da)(da)(da)器(qi)II處(chu)理(li)(li)后(hou)的(de)(de)(de)(de)(de)(de)(de)電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)壓(ya)(ya)(ya)(ya)信(xin)(xin)(xin)號(hao)直(zhi)接輸入至可(ke)(ke)以接收該信(xin)(xin)(xin)號(hao)的(de)(de)(de)(de)(de)(de)(de)模擬顯示(shi)(shi)儀(yi)(yi)器(qi)或處(chu)理(li)(li)儀(yi)(yi)器(qi)例(li)如(ru)模擬信(xin)(xin)(xin)號(hao)示(shi)(shi)波(bo)顯示(shi)(shi)器(qi)或者(zhe)模擬信(xin)(xin)(xin)號(hao)處(chu)理(li)(li)電(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)(dian)路(lu)板。