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B̫ng 1.1 Các thông s͙ ch͇ ÿ͡ gia công hͫp lí theo ch̭WO˱ͫng gia công trên máy CNC Sherline Model 2010 [6]
Lý do chӑQÿӅ tài và mөc tiêu nghiên cӭu
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Hình 2.5 4XiWUuQKW̩RSKRLNKLSKD\J͟YͣLJyFQJKLrQJO˱ͩLGDRȥ>@
.KLSKD\JӛYӟLELrQGҥQJQJKLrQJOѭӥLGDRFҳW\ YjJyFWUѭӟFGѭѫQJWKuÿҫX WLrQYӏWUtPNJLGDRFҳWFyÿѭӡQJNtQKOӟQQKҩWFҳWSKRLWUѭӟFVDXÿyOҫQOѭӧWFiFYӏWUt PNJLGDRFyÿѭӡQJNtQKQKӓKѫQ&KLӅXUӝQJSKRLOӟQQKҩWNKLYӏWUtPNJLGDRFyÿѭӡQJ NtQKQKӓQKҩWWҥRSKRL.KLÿyTXDWUuQKWҥRSK{LFKLD UDJLDLÿRҥQQKѭKuQK ĈӇ[iFÿӏQKFKLӅXGj\SKRLYjGLӋQWtFKPһWFҳWQJDQJFӫDSKRLNKLSKD\JӛYӟL ELrQGҥQJQJKLrQJOѭӥLGDRFҳW\ WDVӱGөQJKuQK.KLÿy$,OjFKLӅXGj\SKRL WKHRSKѭѫQJKѭӟQJNtQKDr YjFKLӅXGj\SKRLWUXQJEuQKÿѭӧF[iFÿӏQKWKHRF{QJ WKӭF>@ r z sin a AI S M (2.9)
&KLӅXGj\SKRLDÿѭӧF[iFÿӏQKWURQJPһWSKҷQJ$)/YX{QJJyFPNJLGDR$% YjÿyFKtQKOjÿRҥQ$/ÿѭӧF[iFÿӏQKWKHRF{QJWKӭF>@ cos cos sin r z a a H S H M (2.10)
Hình 2.6 6˯ÿ͛[iFÿ͓QKFKL͉XGj\SKRLYjGL QWtFKP̿WF̷WQJDQJSKRLNKLSKD\J͟
.KLSKD\JӛEҵQJGDRSKD\YӟLJyFQJKLrQJȥFKX\ӇQÿӝQJFӫDOѭӥLFҳWGDR SKD\WҥRUDPһWK\SHUEROSKѭѫQJWUuQKFKRFiFPһWQj\Oj>1]:
, , 2 2 2 2 2 2 ( cos 2 2 tan ) 2 1 0 sin sin sin y z R x
3KѭѫQJ WUuQK WKDP Vӕ FӫD SKiS WX\ӃQ ÿӕL YӟL PӝW WҩP K\SHUERO WҥL ÿLӇP
17 6X\UDSKѭѫQJWUuQKWKDPVӕSKiSWX\ӃQFӫDWҩPK\SHUEROWҥLÿLӇP$Oj
3KiSWX\ӃQFӫDWҩPK\SHUEROQҵPWURQJPһWSKҷQJWӑDÿӝ]2\*yFİJLӳDÿRҥQ WKҷQJ$,YjSKiSWX\ӃQFӫDWҩPK\SHUEROÿѭӧF[iFÿӏQKWKHRF{QJWKӭF>@ tan H cos tan J \ (2.15)
&KLӅXGj\FӫDSK{LNKLSKD\JӛEҵQJGDRSKD\FyJyFELrQGҥQJOѭӥLȥÿѭӧF [iFÿӏQKWKHRF{QJWKӭF>@ sin cos a S z M H (2.16)
.KLSKD\JӛEҵQJ GDRFҳWFyELrQGҥQJFRQJFKLӅXGjLSKRLWҥLYӏWUtLÿѭӧF[iF ÿӏQKWKHRF{QJWKӭF>@ sin cos z i a S M H (2.17)
7URQJÿytanH i cosJ i tan\ i İi OjJyFQJKLrQJFӫDELrQGҥQJGDRFҳWÿѭӧF [iFÿӏQKWҥLYӏWUtWUrQÿҫXOѭӥLFҳWȖi là JyFWUѭӟFFӫDGDRFҳWWҥLYӏWUtL
+uQKFKRWKҩ\ҧQKKѭӣQJFӫDÿӝGj\SKRLÿӃQJyFQJKLrQJFӫDELrQGҥQJ GDRFҳWİi YjJyFWUѭӟFȖi
&KLӅXGjLFҳW/ ĈѭӡQJ ÿL FӫD GDR SKD\ WURQJ TXi WUuQK FҳW WUrQ KuQK Oj ÿѭӡQJ F\FORLG SKѭѫQJWUuQKFӫDÿѭӡQJcycloid này là [10, 12]: sin
7URQJÿyȦOjJyFJLӳDFiFGDRSKD\Ȧ ʌ]WӯKuQKVX\UDF{QJWKӭF VLQij0 = Sz5YuJyFȦ0 QKӓQrQWDQKұQÿѭӧFJLiWUӏJҫQÿ~QJij0 = Sz/2R
&KLӅXGjLFXQJFҳWÿѭӧF[iFÿӏQKWKHRF{QJWKӭFsau [10, 12]:
Z r Z ijYjij0 TXiQKӓQrQWDѭӟFOѭӧQJJҫQÿ~QJFKRFKLӅX
7URQJWKӵFWӃFKLӅXGjLFҳWÿѭӧF[iFÿӏQKWKHRF{QJWKӭFJҫQ ÿ~QJQKѭVDX l hD (2.21)
&KLӅXFDRVyQJQKҩSQK{EӅPһWJLDF{QJÿѭӧF[iFÿӏQKWKHRF{QJWKӭFVDX> 12]:
'RJyFij0 QKӓQrQWDOҩ\JҫQÿ~QJij0 VLQij07KD\WKӃYjRKӋSKѭѫQJWUuQK trên ta xác ÿӏQKFKLӅXFDRVyQJQKҩSQK{EӅPһW+max [10, 12]: max 1 cos
7ӕLѭXKyDOjPӝWWURQJFiFOƭQKYӵFFӫDWRiQKӑFFyVӭFҧQKKѭӣQJÿӃQKҫX KӃWFiFOƭQKYӵFNKiFQKѭNKRDKӑF± F{QJQJKӋNLQKWӃ± [mKӝL 1KӡÿyPjYLӋF WuPJLҧLSKiS WӕLѭXFKRPӝWYҩQÿӅ ÿһWUD FKLӃPPӝWYDLWUzKӃWVӭFTXDQWUӑQJ SKѭѫQJiQWӕLѭXOjSKѭѫQJiQKӧSOêQKҩWWӕWQKҩWWLӃWNLӋPFKLSKtWjLQJX\rQ QJXӗQOӵFPjOҥLFKRKLӋXTXҧFDR>@
&iFEjLWRiQWӕLѭXFiFEjLWRiQTX\KRҥFKWRiQKӑFÿѭӧFFKLDUDWKjQKFiFOӟSQKѭVDX>@
%jLWRiQWӕLѭXSKLWX\ӃQEjLWRiQTX\KRҥFKSKLWX\ӃQEDRJӗPFҧEjL WRiQTX\KRҥFKOӗLEjLWRiQTX\KRҥFKWRjQSKѭѫQJô
%jLWRiQWӕLѭXUӡLUҥFEjLWRiQWӕLѭXQJX\rQYjKӛQKӧSQJX\rQ
7KHR>@WDFNJQJFyFiFFiFKSKkQORҥLEjLWRiQWӕLѭXQKѭVDX
7KHRWKDPVӕ;j: x Xj = {xj: -[j `ĺ%jLWRiQWӕLѭXOLrQWөF x Xj ljQKӳQJWұSUӡLUҥFĺ%jLWRiQWӕLѭXUӡLUҥF x Xj OjWұSVӕQJX\rQĺ%jLWRiQTX\KRҥFKQJX\rQ 7KHRKjPPөFWLrXI[YjKjPUjQJEXӝFJ[ x &iFKjPI[J[OjFiFKjPWX\ӃQWtQKĺ%jLWRiQWӕLѭXWX\ӃQ tính x &iFKjPI[J[NK{QJOjFiFKjPWX\ӃQWtQKSKLWX\ӃQĺ%jL WRiQWӕLѭXSKLWX\ӃQ x 1ӃXFiFWKDPVӕ[iFÿӏQKI[J[OjFiFKҵQJVӕĺ%jLWRiQWӕLѭX WҩWÿӏQK1JѭӧFOҥLFiFWKDPVӕOjFiFÿҥLOѭӧQJQJүXQKLrQĺ%jL WRiQWӕLѭXQJүXQKLrQ x 1ӃXFiFWKDPVӕ;j ÿӝFOұSYӟLWKӡLJLDQĺ%jLWRiQWӕLѭXWƭQK 1JѭӧFOҥL;j SKөWKXӝFYjRWKӡLJLDQĺ%jLWRiQWӕLѭXÿӝQJ
'RGҥQJTX\KRҥFKFӫDVӕOLӋXÿҫXYjRFKѭѫQJOjGҥQJSKLWX\ӃQQrQEjLWRiQWӕLѭXPjWD[pWVӁWKXӝFGҥQJEjLWRiQWӕLѭXSKLWX\ӃQFөWKӇOjGҥQJWӕLѭXSKLWX\ӃQFyUjQJEXӝF&iFUjQJEXӝFӣÿk\OjWKHRQKXFҫXWKӵFWӃErQQJRjLYjWtQK
20 ORJLFPjWDVӁWKLӃWOұSVDRFKRKӧSOt
%jLWRiQWӕLѭXSKLWX\ӃQFyGҥQJFKtQKWҳFVDX
Công suҩt cҳt
/ӵF YjF{QJVXҩWFҳWOjQKӳQJWK{QJVӕTXDQWUӑQJÿѭӧFWtQKWRiQNKLWKLӃWNӃ FNJQJQKѭWURQJTXiWUuQKVӱGөQJFiFPi\7URQJWKLӃWNӃFK~QJWDJLҧLTX\ӃWEjLWRiQ WKXұQ[iFÿӏQKOӵFFҳWYjF{QJVXҩWFҳWWKHRFiFWKDPVӕYjFKӃÿӝJLDF{QJFiFFKL WLӃW7ӯF{QJVXҩWFҳWYjKLӋXVXҩWWUX\ӅQÿӝQJFӫDFѫFҩXWLӃQKjQK[iFÿӏQKF{QJ VXҩWFҫQWKLӃWFӫDÿӝQJOӵFYjOӵDFKӑQÿӝQJFѫSKKӧS7URQJTXiWUuQKVӱGөQJ FiFPi\WKuEjLWRiQQJѭӧFFҫQÿѭӧFJLҧLTX\ӃWWӯF{QJVXҩWÿӝQJFѫGүQÿӝQJFѫ FҩXFҳWFѫFҩXÿҭ\WKӵFWӃWLӃQKjQK[iFÿӏQKOӵFFҳWOӵFÿҭ\YjOӵDFKӑQFKӃÿӝJLD F{QJWӕLѭXFiFFKLWLӃWWKӓDPmQFiF\rXFҫXFKҩWOѭӧQJJLDF{QJ7URQJVӱGөQJFiF Pi\YLӋFWtQKWRiQOӵFYjF{QJVXҩWFҳWOӵFYjF{QJVXҩWÿҭ\FNJQJUҩWFҫQWKLӃWÿӇ WҥROұSFiFFKӃÿӝJLDF{QJFҳWJӑWFKRF{QJQJKӋYjFiFPi\YӟLNӃWFҩXWѭѫQJWӵ [9]
/ӵF Yj F{QJ VXҩW FҳW Fy WKӇ WtQK WRiQ WKHR FiF F{QJ WKӭF Ot WKX\ӃW Yj WKӵF QJKLӋP7UuQKÿӝSKiWWULӇQFDRFӫDOtWKX\ӃWFҳWJӑWJӛVӁFKRSKpSQKұQÿѭӧFQKӳQJ JLҧWKX\ӃW[iFWKӵFYӅQKӳQJ KLӋQWѭӧQJWURQJYQJFҳWNKLJLDF{QJFiFFKLWLӃW7X\ QKLrQOtWKX\ӃWFҳWKLӋQÿҥLYүQFKѭDWKӇWUDQJEӏFKRFK~QJWDQKӳQJF{QJWKӭFWtQK WRiQOêWKX\ӃWÿӇ[iFÿӏQKOӵFWiFÿӝQJOrQF{QJFөFҳWNKLFyWiFÿӝQJWѭѫQJKӛYӟL JӛOjYұWOLӋXGӏKѭӟQJ>@
&iFWtQKFKҩWFӫDJӛWKD\ÿәLOӟQWURQJJLӟLKҥQFiFORjLWURQJPӝWORjLYjWKұPFKtWURQJJLӟLKҥQPӝWORҥWSK{LJLDF{QJ6ӵNKiFQKDXJLӳDNKӕLOѭӧQJULrQJWKӵFWӃFӫDJӛYӟLFiFJLiWUӏWtQKWRiQFyWKӇGүQWӟLFiFNӃWTXҧWtQKWRiQOӵFFҳWFyVDLVӕ ÿӃQYjOӟQKѫQҦQKKѭӣQJFӫDPҳWJӛ[RҳQWKӟKѭӟQJWLӃSWX\ӃQYj[X\rQWkPFNJQJOjPFKRÿӝFKtQK[iFWtQKWRiQVDLOӋFKNK{QJQKӓ'RYұ\QKӳQJWtQKWRiQOêWKX\ӃWYjWKӵFQJKLӋPWUrQFѫVӣOҩ\JLiWUӏWUXQJEuQKFiFWtQKFKҩWFѫ± lý FӫDJӛVҿ FKӍOjQKӳQJNӃWTXҧӣJLӟLKҥQJҫQÿ~QJVDLOӋFKӣJLӟLKҥQ>@ 'ROtWKX\ӃWFҳWFKѭDÿѭDUDÿѭӧFQKӳQJF{QJWKӭFOtWKX\ӃWWtQKWRiQFKtQK[iF
25 QrQWKӵFWӃQJѭӡLWDYүQVӱGөQJFiFF{QJWKӭFWKӵFQJKLӋP
Hình 3.1 6˯ÿ͛OFNKLSKD\G͕FJ͟D± OFNKLSKD\E± VEL͇Qÿ͝LFͯDOFVDX
/ӵFSKD\ÿѭӧF[iFÿӏQKWKHRF{QJWKӭF>@
&KLӅXGj\SKRLWKHRTXiWUuQKFҳWWKD\ÿәLWӯWӟLJLiWUӏOӟQQKҩWWѭѫQJӭQJOj VӵELӃQÿәLFӫDFiFWKjQKSKҫQOӵFTXD\WURQJJLӟLKҥQFXQJFҳW>@
PmaxOӵFFҳWOӟQQKҩWWUrQFXQJFҳW1
PkOӵFFҳWWLӃSWX\ӃQWUXQJEuQK1 lpFKLӅXGjLFXQJFҳWOp 5ijk), m
26 ijkJyFWLӃS[~FOѭӥLFҳWYӟLJӛWUrQFXQJFҳWUDG lkFKLӅXGjLYzQJFҳWJLӳDFiFKDLOѭӥLFҳWNӅQKDXP
7iFÿӝQJWѭѫQJKӛJLӳDFiFOӵFQrXWUrQӣÿӗWKӏFyWKӇÿѭDYӅGҥQJFkQEҵQJ công [9]: max
(3.3) ӣÿk\=± VӕOѭӥLFҳWWUrQөGDR
/ӵFFҳWWUXQJEuQKWKjQKSKҫQWLӃSWX\ӃQÿѭӧF[iFÿӏQK>@
7URQJÿyE± FKLӅXUӝQJSKD\PPP± FKӍVӕPNJWURQJYұQWӕFFҳW&± KӋVӕ SKөWKXӝFYjRÿLӅXNLӋQSKD\ ĈӝWFҥQKFҳWFӫDGDR>@
7URQJÿy$ ȝPNKLSKD\JӛOiNLP$ ȝPNKLSKD\JӛFӭQJ
/ӵFSKiSWX\ӃQNKLSKD\GӑFSKөWKXӝFYjRQKLӅX\ӃXWӕQyFyWKӇOjOӵFNpR KRһFOӵFpSQpQWURQJWtQKWRiQQJѭӡLWDVӱGөQJ>@
7UӏVӕQKӓKѫQFӫDPWѭѫQJӭQJFKRGDRVҳFYjQJѭӧFOҥLWKӵFWӃWKӵFQJKLӋP
27 FKRWKҩ\NKLOӵDFKӑQWUӏVӕPQJRjLFăQFӭYjRÿӝVҳFFӫDGDRFzQWtQKWӟLFҧFKLӅX dày phoi
/ӵFSKiSWX\ӃQÿѭӧF[iFÿӏQK>@
.KLOѭӥLFҳWVҳFP n mP k 0.55 0.45y P k , N
.KLOѭӥLFҳWNK{QJVҳFP n mP k 1.3 0.1y P k , N
&{QJVXҩWFҳWFKRWUѭӡQJKӧSSKD\GӑF>@
7ӯF{QJ VXҩWFҳW1C ÿѭӧFWtQKWKHRF{QJWKӭFWUrQYjFKXӛLÿӝQJKӑFFѫFҩXFҳW WLӃQKjQK[iFÿӏQKF{QJVXҩWFҫQWKLӃWFKRGүQÿӝQJ>@
7UӏVӕPSKөWKXӝFYjRÿӝVҳFFӫDOѭӥLFҳWORҥLJӛFKLӅXGj\WUXQJEuQKFӫD SKRLYjKjQJORҥWFiFÿLӅXNLӋQNKiFFӫDTXiWUuQKSKD\
B̫ng 3.1 Các giá tr͓ cͯa h s͙ m [9] ĈӝVҳFFӫDGDR
&{QJVXҩWFҳWFyWKӇÿѭӧF[iFÿӏQK>@
29 Ĉӝ nhám bӅ mһt ĈӇFyWKӇÿҥWÿѭӧFFKҩWOѭӧQJFDRWURQJWUѭӡQJ KӧSEӅPһWOjJӛVDXNKLJLD F{QJOX{QOjPӝWWKӱWKiFKNKyNKăQEӣLGRVӵҧQKKѭӣQJFӫDFiFNKX\ӃWWұWFӫDJӛ Jk\QrQVӵÿDGҥQJYӅFҩXWU~FFNJQJQKѭOjFiFÿһFWtQKFӫDFKtQKQyPұWÿӝÿӝ FӭQJÿӝEӅQP{ÿXQÿjQKӗLô7X\QKLrQQJj\QD\FiFÿһF WtQKYjFҩXWU~Fÿy OҥLtWÿѭӧFTXDQWkPKRһFÿiQKJLiFDRWURQJGDQKViFKFiFQKkQWӕҧQKKѭӣQJÿӃQ ÿӝQKiPEӅPһWPһFGQyFyWҫPTXDQWUӑQJWURQJYLӋFJLҧLWKtFKQKӳQJÿLӅXEҩW WKѭӡQJ[ҧ\UDWUrQEӅPһWJӛVDXNKLJLDF{QJ%ӣLOӁYLӋFQJKLrQFӭXOƭQKYӵFFҩX WU~FYjNKX\ӃWWұWFӫDWKkQFk\JӛSKҧLWӕQUҩWQKLӅXWKӡLJLDQYjF{QJVӭFÿӇTXDQ ViWYjWKHRG}L*LӕQJQKѭPӝWWjLOLӋXQJKLrQFӭXFӫD6DQGDNYj1HJULQăPFy YLӃWOj³&ҩXWU~F[ӕSFӫDJӛNK{QJEDRJLӡWҥRUDÿѭӧFPһWSKҷQJOtWѭӣQJ´>@ Ngày QD\QJѭӡLWDFKӍFySKkQELӋWFiFORҥLJӛWK{QJTXDPұWÿӝFӫDQyFKӭNK{QJÿLVkX YjRFҩXWU~FÿһFWtQKQKѭSKkQWtFKӣWUrQÿӇFyWKӇÿѫQJLҧQKyDEjLWRiQFҫQJLҧL TX\ӃW
&iFEӅPһWÿѭӧFJLDF{QJEҩWNӇFK~QJÿѭӧFOjPEҵQJNLPORҥLQKӵDKD\Oj JӛWKuFK~QJNK{QJEDRJLӡQKҹQKRjQWRjQGREӣLFiFSKҫQQK{UDFiFPLӅQOӗL KRһFO}PWUrQEӅPһWFӫDFK~QJ1KӳQJGҥQJNK{QJÿӅXEӅPһWQKѭWKӃQj\ÿѭӧF JӑLOjÿӝQKiPĈӝQKiPEӅPһWFyWKӇGRFiF\ӃXWӕNKiFQKDXJk\UDQKѭVӵNK{QJ OLrQWөFFӫDYұWOLӋXFiFGҥQJÿӭWJm\JLzQNKiFQKDXFiFOӛKәQJWURQJNӃWFҩXYt GөQKѭFiFPҥFKWURQJJӛEiQNtQKPNJLGDRFӫDGөQJFөFҳWFiFELӃQGҥQJFөFEӝ GRFѫFKӃFҳWWӵGR>@ ĈӝQKiPEӅPһWWӕLWKLӇXFyWKӇÿҥWÿѭӧFSKөWKXӝFYjRPӝWVӕ\ӃXWӕWURQJÿó FyNӇFҧÿӃQNKӕLOѭӧQJWKӇWtFKSK{LQӃX\ӃXWӕQj\OӟQWKuGүQÿӃQEӅPһWGӉQKҹQ KѫQ9LӋF[iFÿӏQKFiFTX\WҳFFKXQJWURQJFiF\ӃXWӕҧQKKѭӣQJÿӝQKiPPҩWNKi QKLӅXWKӡLJLDQQKѭQJYӟLNƭWKXұWÿROѭӡQJKLӋQÿҥLNK{QJQJӯQJUDÿӡLKLӋQQD\ÿm KӛWUӧFKRYLӋF[iFÿӏQKFiFTX\WҳFWKLӃW\ӃXQJRjLUDVӕFҩXWU~FJLҧLSKүXPӟLUD ÿӡLÿmJL~SFKRYLӋF[iFÿӏQKFiFTX\WҳFFKXQJPӝWFiFKWKXұQOӧLKѫQ ĈӇÿiQKJLiFKҩWOѭӧQJEӅPһWPjFөWKӇӣÿk\OjÿӝQKiPEӅPһWWKuQJѭӡLWDGQJFiF\ӃXWӕKuQKKӑFFӫDQKiPOjPFKӍWLrXÿѭӧF[iFÿӏQKWURQJSKҥPYLFKLӅX
30 GjLFKXҭQYjWtQKWRiQVRYӟLÿѭӡQJWUXQJEuQKFӫDSURILOHEӅPһW9LӋFÿiQKJLiÿӝ QKiPWKѭӡQJÿѭӧFVӱGөQJWKHRFKӍWLrXVDX6DLOӋFKWUXQJEuQKVӕKӑFFӫDSURILOH
Ra Yj&KLӅXFDRPҩSP{SURILOHWKHRÿLӇP5zӢQJKLrQFӭXQj\WKuWDWLӃQKjQK ÿiQKJLiWKHRFKӍWLrX5z
Hình 3.3 0{KuQKOtW˱ͧQJÿRÿ͡QKiPE͉P̿WWKHRFK͑WLrX5 z
*LiWUӏ5z ÿѭӧF[iFÿӏQKEҵQJFKLӅXFDRFӫDÿӍQKFDRQKҩWYjFKLӅXVkXFӫD ÿi\VkXQKҩWFӫDSURILOHWURQJSKҥPYLFKLӅXGjLOFKXҭQQKѭKuQKWKHRF{QJ WKӭFVDX
7URQJÿy h1, h3, h5, h7, h9 OjFKLӅXFDRFӫDÿӍQKFDRQKҩWFӫDSURILOHVRYӟLPһWFKXҭQ WKXӝFSKҥPYLFKLӅXGjLOFKXҭQ h2, h4, h6, h8, h10 OjFKLӅXVkXFӫDÿi\VkXQKҩWFӫDSURILOHVRYӟLPһWFKXҭQ WKXӝFSKҥPYLFKLӅXGjLOFKXҭQ
9LӋFFKӑQFKӍWLrX5z ÿӇWLӃQKjQKÿiQKJLiOjGREӅPһWJӛNKLSKD\TXiWK{YLӋFÿRVӁFKtQK[iFKѫQFKӍWLrX5a
&ҩXWU~FErQWURQJFӫDJӛFyҧQKKѭӣQJÿӃQÿӝQKiP
0ӝWWURQJQKӳQJÿһFWUѭQJWLrXELӇXFӫDJӛOjFҩXWҥRErQWURQJFyFiFNKRDQJ GҥQJPҥFKYjWӃEjROXPHQErQWURQJQKѭKuQKWKӇKLӋQFҩXWU~FErQWURQJFӫDFiF ORjLJӛPӅPYjJӛFӭQJ
Hình 3.4 ̪QKKL͋QYLFͯDORjLWK{QJDYjORjLJ͟FͱQJE>@
&ҩXWU~FFӫDFiFORjLJӛFӭQJSKӭFWҥSKѫQFK~QJEDRJӗPPӝWVӕORҥLWӃEjR NKiFQKDX0ҥFKEjRJӗPFiFӕQJGӑFOjPQKLӋPYөYұQFKX\ӇQÿѭӡQJNtQKFyWKӇ OrQÿӃQȝPGRÿyFK~QJFyWKӇÿѭӧFQKuQWKҩ\EҵQJPҳWWURQJNKLÿyFiFTXҧQ EjRFyÿѭӡQJNtQKQKӓKѫQNKRҧQJ± ȝPQKѭQJNK{QJ[X\rQVXӕWQKѭPҥFK bào [7]
&iFNKRDQJFӫDFҧPҥFKYjVӧLWӃEjRӣFiFYzQJJӛVӟPYjPXӝQFNJQJFyNtFKWKѭӟFNKiFQKDXWKrPYjRÿyQyFzQSKөWKXӝFYjRKRjQFҧQKWKӡLWLӃWVӵ ELӃQÿәLQj\OjÿLӇQKuQKFKRFҩXWU~FErQWURQJFӫDFiFYzQJKjQJQăPWLӃSWKHR
32 7URQJTXiWUuQKJLDF{QJFiFNKRDQJJӛQj\ÿѭӧFFҳWWKHRFiFJyFÿӝNKiF QKDXGRÿyQJD\FҧWURQJWUѭӡQJKӧSTXiWUuQKFҳWNK{QJJk\KѭKҥLJuFKRFKLWLӃW WKuFiFOӛUӛQJYүQFzQWUrQEӅPһW&KtQKÿLӅXQj\Jk\UDPӝWÿӝQKiPQKҩWÿӏQK WUrQEӅPһWPjTXiWUuQKJLDF{QJNK{QJҧQKKѭӣQJ9uWKӃÿӝQKiPSKiWWULӇQWKHR FiFKQj\ÿѭӧFJӑLOjÿӝQKiPGRFҩXWU~FJk\UD
;pWYӅPһWÿӝQKiPFҩXWU~FErQWURQJFӫDJӛÿѭӧFÿһFWUѭQJEӣLÿѭӡQJNtQK WUXQJEuQKFӫDFiFOӛYjVӕOѭӧQJOӛWURQJPӝWÿѫQYӏPһWFҳWQJDQJFөWKӇ.tFK WKѭӟFYjVӕOѭӧQJOӛSKҧLÿѭӧF[iFÿӏQKFҧӣJӛVӟPYjJӛPXӝQGRÿyWӍOӋVӟPYj PXӝQFNJQJSKҧLÿѭӧF[iFÿӏQK ĈLӅXNKyNKăQFKtQKNKLSKD\JӛOjGRWKӵFWӃJӛNK{QJSKҧLOjPӝWYұWOLӋXUҳQ WKӵFVӵPjFzQFyFiFNKX\ӃWWұWErQWURQJPҥFKEjRTXҧQEjRYjFiFWӃEjROXPHQ KѫQQӳDJӛOjPӝWYұWOLӋXJLzQFy[XKѭӟQJGӉJm\'RÿyFѫFKӃFҳWOX{QJҳQOLӅQ YӟLÿӭWJm\FӫDYұWOLӋXWҥRUDFiFEӅPһWNK{QJ EҵQJSKҷQJFiFNKX\ӃWWұWErQWURQJ JӛWURQJTXiWUuQKJLDF{QJFNJQJWҥRUDFiFEӅPһWNK{QJÿӗQJÿӅXFiFORҥLJӛFy PҥFKOӟQJӛGҥQJYzQJFyWKӇJk\UDFiFEӅPһWEҩWWKѭӡQJOӟQPjNK{QJOLrQTXDQ ÿӃQTXiWUuQKJLDF{QJ>@ ĈѭӡQJNtQKFӫDFiFPҥFKEjRTXҧQEjRYjFiFWӃEjROXPHQEӏFҳWWURQJTXi WUuQKJLDF{QJYӅFѫEҧQFyWKӇ[iFÿӏQKÿѭӧFÿӝVkXFӫDEӅPһWEҩWWKѭӡQJEӣLGR QyÿѭӧFSKkQSKӕLPӝWFiFKQKҩWÿӏQK\ӃXWӕTXDQWUӑQJOjVӕOѭӧQJFӫDFiFPҥFK Qj\OLrQTXDQWӟLÿѫQYӏFKLӅXGjLWKHRKѭӟQJFҳWYLӋFVӱGөQJÿѭӡQJNtQKWUXQJEuQK VӁNK{QJJk\VDLVӕOӟQKѫQ>@
'RÿyYӏWUtFөFEӝFӫDFiFPҥFKEjRÿӕLYӟLPһWSKҷQJFҳWOjQJүXQKLrQOj PӝWELӃQ[iFVXҩWÿLӅXQj\FyQJKƭDOjҧQKKѭӣQJNӃWTXҧFӫDFiFPҥFKEjRQj\OrQ ÿӝQKiPEӅPһWVӁÿѭӧFFKROjJLiWUӏWUXQJEuQKYӟLÿӝOӋFKFKXҭQ
*LҧÿӏQKUҵQJWURQJPһWSKҷQJJLDF{QJFyFiFPҥFKEjRYjTXҧQEjREӏFҳWYjFiFUmQKQj\FyҧQKKѭӣQJYjJySSKҫQYjRNӃWTXҧOjÿӝQKiPWKuPһWFҳWQJDQJFӫDFiFQKҩSQK{OLrQTXDQÿӃQÿѫQYӏÿӝGjLFyWKӇÿѭӧFWtQKQKѭVDX
7URQJÿy n1, n2OjVӕOѭӧQJPҥFKEjRYjTXҧQEjRWURQJHDUO\ZRRGWURQJPһWFҳW QJDQJÿѫQYӏ n3, n4OjVӕOѭӧQJPҥFKEjRYjTXҧQ EjRWURQJODWHZRRGWURQJPһWFҳW QJDQJÿѫQYӏ d1 ± d4OjÿѭӡQJNtQKWUXQJEuQKFӫDPҥFKEjRYjTXҧQEjRWѭѫQJӭQJ trong early wood và late wood
DEOjSKҫQFKLDFӫDHDUO\ZRRGYjODWHZRRGWUDFӭXEҧQJQJRjL
34 1ӃXEӅPһWFyÿӝQKҩSQK{GRҧQKKѭӣQJFӫDFKӃÿӝJLDF{QJWKҩSWKuÿӝQKiP EӅPһWFKӫ\ӃXVӁÿѭӧF[iFÿӏQKEӣLÿһFWtQKFҩXWU~FJLҧLSKүXYjQyFNJQJOjÿӝ QKiPEӅPһWWӕLѭXFyWKӇÿҥWÿѭӧF
1JXӗQJӕFFӫDÿӝQKám hình thành trong sau khi gia công ĈӝQKiPSKiWWULӇQWURQJTXiWUuQKJLDF{QJFyKDLWKjQKSKҫQFKtQKÿӝQKiP GRJLDF{QJJk\UDYjÿӝQKiPGRFҩXWU~FJӛErQWURQJJk\UDQJD\FҧWURQJWUѭӡQJ KӧSPһFGOjJLDF{QJWK{QKѭQJÿӝQKiPSKiWWULӇQQKLӅXlà do các khoang bên WURQJEӏFҳW9uWKӃWKӵFWӃÿDQJJLDF{QJӣWӕFÿӝFDRÿӝQKiPGRJLDF{QJKD\UD QKӓKѫQQKLӅXVRYӟLÿӝQKiPGRFҩXWU~FErQWURQJÿһFELӋWOjWKӇKLӋQU}UjQJӣ FiFORjLJӛFӭQJFyPҥFKOӟQ ĈӝQKiPGRJLDF{QJWKѭӡQJSKөWKXӝFYjRFiF\ӃXWӕWӕFÿӝFҳWFKLӅXGj\ SKRLKѭӟQJJLDF{QJWѭѫQJÿӕLYӟLWKӟJӛJyFVҳFFӫDGDRÿӝVҳFFҥQKGDREiQ NtQKPNJLGDRYjELrQÿӝGDRÿӝQJFӫDFKLWLӃWJLDF{QJ>@
&ҳWJӛWKXӝFQKyPFҳWWӵGRWtQKQăQJÿһFWUѭQJFKtQKFӫDQyOjNK{QJFySKҧQ OӵFWӯFҥQKPj[XҩWSKiWWӯÿӝEӅQFӫDJӛYjOӵFTXiQWtQK&iFWK{QJVӕYӅÿӝEӅQ YjÿӝFӭQJP{ÿXQ(FjQJFDRWKuJӛFyOӵFTXiQWtQKSKҧLFjQJQKӓQJKƭDOjÿӝ QKiPWăQJFKұPNKLWӕFÿӝFҳWJLҧP>@
1JX\rQQKkQFKtQKGүQÿӃQKLӋQWѭӧQJQKiPGRJLDF{QJJk\UDOjVӵÿӭWJm\ JLzQFӫDYұWOLӋXYjÿӝEӅQNpRWKҩSFӫDQyYX{QJJyFYӟLWKӟ6ӵ[XҩWKLӋQFӫDJm\ JLzQOjNK{QJWKӇORҥLEӓÿѭӧFQKѭQJFyWKӇJLӟLKҥQQyӣPӭFÿӝWKҩSKѫQSKѭѫQJ SKiSKLӋXTXҧQKҩWFKRYLӋFQj\OjFҳWӣWӕFÿӝFDRYjWLӃS[~FYұWOLӋXQKӓQKҩWFy WKӇĈӗQJWKӡLFiFKGX\QKҩWÿӇORҥLEӓҧQKKѭӣQJWLrXFӵFFӫDÿӝEӅQNpRYX{QJ JyFYӟLWKӟOjWҥRUDWҧLWUӑQJQpQӣYQJOkQFұQFӫDPpSFҥQKÿLӅXQj\FyWKӇWKӵF KLӋQGӉGjQJYӟLJyFGDR± 70 0 KRһFJyFVҳF± 25 0 ÿһFELӋWOjJLDF{QJWҩPUҩW GӉEӏJm\PpSYuWҧLWUӑQJNpRYuWKӃYLӋFOӵDFKӑQFiFÿLӅXNLӋQÿӝQJKӑFWKtFKKӧS OjUҩWTXDQWUӑQJ>@
7ҧLWUӑQJQpQTXi PӭF OjPELӃQGҥQJYұWOLӋX FNJQJFyWKӇJk\ UDÿӝ QKiP3KѭѫQJSKiS³JLDF{QJPѭӧW´ÿmÿѭӧFELӃWWӯOkXÿӝGj\SKRLQKӓKѫQVӁWҥRUDOӵF
35 QKӓKѫQWҧLWUӑQJQpQFNJQJFyWKӇÿѭӧFJLҧPEҵQJFiFKVӱGөQJ³FҳWWUѭӧW´&ҳWWUѭӧW WҥRUDWҧLWUӑQJFҳWWUrQFҥQKÿLӅXQj\FNJQJJySSKҫQOjPKӓQJYұWOLӋXӭQJVXҩW WѭѫQJÿѭѫQJÿѭӧFWtQKWKHRGҥQJVDX>@
Hình 3.6 4XiWUuQKQpQWiFGͭQJOrQPpSF̩QKNKLJLDF{QJJ͟>@
6ӵSKkQEӕWҧLWUӑQJQpQErQWURQJYұWOLӋXSKөWKXӝFYjREiQNtQKPNJLGDRÿӝ FQFӫDPpSGDR'RÿӝGj\FӫDPpSPӝWOӟSYұWOLӋXFyÿӝGj\]0 VӁEӏQpQErQ GѭӟLPpSĈӝGj\FӫDOӟSQj\EҵQJNKRҧQJEiQNtQKFҥQKGDRWҧLWUӑQJFӫD FҥQKÿѭӧFWUX\ӅQOrQYұWOLӋXWUrQEӅPһWFyFKLӅXUӝQJEYjFKLӅXGjLEҵQJYӟLFKLӅX GjLFӫDFҥQKÿLӅXQj\WѭѫQJWӵYӟLWҧLFKXNu7ҧLWUӑQJOӟQQKҩW[XҩWKLӋQQJD\GѭӟL EӅPһWWLӃS[~FYjQyJLҧPQKDQKNKLGLFKX\ӇQYӅSKtDErQWURQJFӫDYұWOLӋXÿLӅX Qj\FyQJKƭDOjÿӝQpQFDRQKҩWFӫDFiFSKҫQWӱOX{QEҳWÿҫXQJD\ErQGѭӟLFҥQK 1ӃXWҧLWUӑQJQpQErQGѭӟLPpSÿҥWÿӃQӭQJVXҩWFKӏXOӵFFXӕLFӫDYұWOLӋXKӋWKӕQJ WӃEjRJӛVӁEӏELӃQGҥQJYƭQKYLӉQYjQyEӏQpQJk\KҥLFKRFiFNKRDQJ>@
Dӳ liӋXÿҫu vào
7UrQFѫVӣNӃWTXҧWKӵFQJKLӋPFӫDJLiWUӏN.Yj5zWDWKLӃWOұSEjLWRiQWӕL ѭX&{QJVXҩWÿѭӧF[iFÿӏQKWKHRWӍVXҩWOӵFFҳW.&{QJWKӭF± SKөWKXӝFQKkQ WӕOѭӧQJWLӃQGDRUăQJ6z PPFKLӅXVkXFҳWKPPÿӝWPNJLGDRȡȝP+ӋVӕ PLӅQWҥRSKRLN± SKөWKXӝFQKkQWӕ6z PPȡȝPYjÿѭӡQJNtQKGDRSKD\' PPĈӝQKiPEӅPһW5z ± SKөWKXӝFQKkQWӕ6z PPȡȝPJyFWUѭӟFGDRȖ 0 ), JyFOӋFKWKӟJӛȥC ( 0 JyFQJKLrQJOѭӥLGDRȥ 0 7UѭӡQJKӧSFKRSKD\EjRPһW thì ȥC ȥ 7KtQJKLӋPÿѭӧFWKӵFKLӋQWUrQPi\SKD\EjRPһW+QKѭKuQK
YjÿӕLWѭӧQJOjJӛ&KXNUDVLDÿһFWtQKFѫKӑFÿѭӧFWKӇKLӋQWURQJEҧQJ
Hình 4.1 6˯ÿ͛Pi\SKD\EjR- JL˱ͥQJPi\ 2- FRQOăQF̭SOL X 3- bàn; 4- con OăQF̭SOL XP͓Q 5- mi͇QJiSVX̭WSKtDVDX 6- Q̷SPi\F̷W 7- FRQOăQPi\F̷W 8- SK̯QW͵ŃSWU˱ͣF 9- YtWÿL͉XFK͑QK 10- FRQOăQF̭SOL XFyUmQK 11- YX͙WUqP
9ұWOLӋXJӛ 0ұWÿӝ kg/m 3 ӬQJVXҩWNpR ıT, MPa ӬQJVXҩWQpQ ıC, MPa ӬQJVXҩWXӕQ ıF, MPa Chukrasia tabularis var attopenesis 600 ± 810 2.8 44.7 118
44 7URQJVѫÿӗQJX\rQOtSKD\JӛÿѭӧFWKӇKLӋQӣKuQKYӟLFiFJLiWUӏWDJLҧÿӏQK KRһFELӃWWUѭӟFQKѭE PPOjFKLӅXUӝQJSKD\ÿѭӡQJNtQKdao phay D = 2R PPFKLӅXVkXFҳWK PPOѭӧQJFKҥ\GDRUăQJ6z = 0,39 0,96 1,53mm, VӕUăQJWUrQGDR] WKuWӕFÿӝWUөFFKtQKQWӕFÿӝFҳWYYjF{QJVXҩWFҳW3ÿѭӧF WtQKOҫQOѭӧWWKHRF{QJWKӭFYjWKӇKLӋQPӕLOLrQKӋQKѭWURQJ EҧQJ
B̫ng 4.2 B̫QJWtQKWRiQW˱˯QJͱng giͷa t͙Fÿ͡ trͭc chính n, t͙Fÿ͡ c̷t v và công sṷt c̷t P
7KHREҧQJWDWLӃQKjQKOӵDFKӑQQ USPļY PVļ3 N: YұWOLӋXGDRFҳWOjWKpS&U1L:7ÿӝFӭQJVDXNKLӫ+%= 241 Mpa
&iFJLiWUӏÿҫXYjRN.Yj5z ÿѭӧFTX\KRҥFKWKӵFQJKLӋPӣGҥQJEұFNLӇX ÿѭӧF Vӱ GөQJ Oj TX\ KRҥFK KӛQ KӧS ÿӕL [ӭQJ GҥQJ % )DFH- Centered Central Composite Design ± FCCCD)
*LiWUӏ.ÿѭӧFWKӵFQJKLӋPӣFiFPӭFJLiWUӏPP6z PPȝP ȡȝPPPKPP [10, 30]
6DXNKLSKkQWtFKEҵQJ0LQLWDEWDÿѭӧFSKѭѫQJWUuQKKӗLTX\FӫD.QKѭVDX [10, 12]:
7ӯF{QJWKӭFWDFyWKӇTX\KRҥFKF{QJVXҩW3WKHR.WDÿѭӧF
Giá WUӏNÿѭӧFWKӵFQJKLӋPӣFiFPӭFJLiWUӏPP6z PPȝP ȡȝPPP'PPEҧQJQKkQWӕYjEҧQJNӃWTXҧWKӵFQJKLӋP
B̫ng 4.3 B̫ng quy ho̩ch các nhân t͙ thc nghi m h s͙ mi͉n t̩o phoi k [10,30]
Khoҧng giӳa các ÿRҥn
Thҩp nhҩt Giӳa Cao nhҩt
-1 0 +1 Ĉѭӡng kính dao D, mm x1 130 165 200 35
B̫ng 4.4 B̫ng k͇t qu̫ thc nghi m h s͙ mi͉n t̩o phoi k [30]
6DXNKLSKkQWtFKEҵQJ0LQLWDEWDÿѭӧFSKѭѫQJWUuQKKӗLTX\FӫDNQKѭVDX
U U U ĈӕLYӟLJLiWUӏÿӝQKiPEӅPһW5z WKuÿѭӧFTX\KRҥFKWKHREҧQJQKkQWӕVDX± EҧQJYjNӃWTXҧWKӵFQJKLӋPQKѭWURQJEҧQJ
B̫ng 4.5 B̫ng quy ho̩ch các nhân t͙ cͯDÿ͡ nhám b͉ m̿t R z
Khoҧng giӳa các ÿRҥn
Thҩp nhҩt Giӳa Cao nhҩt
B̫ng 4.6 B̫ng k͇t qu̫ thc nghi Pÿ͡ nhám b͉ m̿t R z
6ӱGөQJSKkQPӅP0LQLWDE[ӱOêNӃWTXҧWKӵFQJKLӋPYjSKkQWtFKSKѭѫQJVDL SKѭѫQJWUuQKKӗLTX\FXӕLFQJWDWKXÿѭӧFSKѭѫQJWUuQKKӗLTX\5z QKѭVDX max
Source DF Adj SS Adj MS F-9DOXHȇ-Value
Sz*Sz 1 2492 2492 46.39 0.000 ȡȡ ȖȖ ȥFȥF 7620 7620 141.86 0.000 ȥȥ
6]ȥ ȡȖ ȡȥF7 0.000 ȡȥ ȖȥF Ȗȥ ȥFȥ
Lack-of-Fit 22 6032 274 7.21 0.000 ȇXUH(UURU
S R-sq R-sq(adj) R-sq(pred)
Term Coef SE Coef T-Value P-Value VIF
Sz*Sz 11.25 1.65 6.81 0.000 3.14 ȡȡ ȖȖ-0.32 1.65 -0.19 0.849 3.14 ȥFȥF ȥȥ
6]ȥ ȡȖ ȡȥF ȡȥ-4.327 0.458 -9.45 0.000 1.00 ȖȥF-3.697 0.458 -8.07 0.000 1.00 Ȗȥ ȥFȥ-1.338 0.458 -2.92 0.004 1.00
50 7UѭӡQJKӧSȥC ȥ FKRWUѭӡQJKӧSSKD\SKҷQJGӑFWKӟWDFyF{QJWKӭF[iF ÿӏQKÿӝQKiPEӅPһWQKѭVDX
7UѭӡQJKӧSȥC ȥ YjȖ 0 WDFyELӇXÿӗFiFÿѭӡQJÿӗQJPӭFQKѭVDX
Hình 4.2 %L͋Xÿ͛UDQKJLͣLFiFPL͉Qÿ͡QKiPE͉P̿WWURQJWU˱ͥQJKͫSȥ C ȥ
7UѭӡQJKӧSWUrQKuQKYӟLÿӝQKiPJLDF{QJFyJLiWUӏ5z ȝPӭQJYӟL ÿӝQKiPNKLSKD\QӱDWLQKFy5z ôȝPWDFyPLӅQJLiWUӏWKӓDPmQQKѭVDX
Hình 4.3 %L͋Xÿ͛UDQKJLͣLPL͉Qÿ͡QKiPWK͗DPmQ5 z ȝPWURQJWU˱ͥQJKͫSȥ C ȥ YjȖ 0
Lұp bài toán tӕLѭX
7ӯNӃWTXҧFѫVӣGӳOLӋXEDQÿҫXWDWLӃQKjQK[k\GӵQJEjLWRiQWӕLѭXYӟLKjP PөFWLrXOjF{QJVXҩWFҳWQKӓQKҩW3ĺPLQKRһFOjQăQJVXҩWJLDF{QJ3URGXFWLYLW\ ĺPD[QKѭQJÿӗQJWKӡLSKҧLWKӓDPmQPӝWVӕKjPUjQJEXӝFWӕLѭXKyDÿyOj
&{QJVXҩWFҳWSKҧLQKӓKѫQF{QJVXҩWÿӝQJFѫ33ÿF
&ҳWWUrQPLӅQWҥRSKRL6z 2 - Nȡ'10 -3 0 ĈӝWPNJLGDRQҵPWURQJPLӅQJLӟLKҥQȝPȡȝP
5jQJEXӝFFҳWWUrQPLӅQWҥRSKRL6z 2 - Nȡ'10 -3 VӁOjPFKRÿӝWPNJLGDR
NK{QJÿѭӧFVӱGөQJWӕLÿDWӟLÿLӇPȡ ȝPNKLWӕLѭXÿӝQKiP7URQJNKLÿy ÿLӅXNLӋQQj\FKӍÿӇÿҧPEҧRUҵQJWURQJTXiWUuQKFҳWVӁNK{QJFyKLӋQWѭӧQJWUѭӧW FKӭNK{QJSKҧLOjNK{QJWKӇJLDF{QJÿѭӧF9uWKӃӣÿk\FKӍPDQJWtQKFKҩWJLӟL WKLӋXFiFEjLWRiQWӕLѭXSKtDVDXQj\VӁNK{QJ[pWWӟLÿLӅXNLӋQFҳWWUrQPLӅQWҥR SKRLQӳD
6DXNKLÿmFyJLiWUӏTX\KRҥFKWKӵFQJKLӋPFӫD5zYLӋFWKLӃWOұSEjLWRiQFKҩW OѭӧQJEӅPһWYjQăQJVXҩWJLDF{QJWKHRÿLӅXNLӋQ.XKQ± Tucker nKѭVDX
Bài toán 1: &{QJVXҩWFҳWQKӓQKҩWYjUjQJEXӝFÿӝQKiP5z ȝP
/ѭӧQJWLӃQGDRUăQJ6z (mm) ĈӝWPNJLGDRȡȝP
+jPPөFWLrX&{QJVXҩWFҳW3ĺPLQ
&iFKjPUjQJEXӝF ĈӝQKiPWKӓDPmQ5z ȝP ĈӝWPNJLGDRQҵPWURQJYQJȝPȡȝP
Bài toán 2: 1ăQJVXҩWJLDF{QJFDRQKҩWYӟLUjQJEXӝF5z ȝPYjF{QJVXҩW3
Pmax ӢEjLWRiQQăQJVXҩWJLDF{QJWKuYLӋFWăQJQăQJVXҩWWѭѫQJӭQJYӟLYLӋFWăQJOѭӧQJ WKӇWtFKEyFWiFKYұWOLӋXPjQyFyOLrQTXDQPұWWKLӃW ÿӃQWӕFÿӝÿѭDSK{LYjRPi\ WKӇWtFKEyFWiFKYұWOLӋX4 EKXFKRQrQ
/ѭӧQJWLӃQGDRUăQJ6z (mm) ĈӝWPNJLGDRȡȝP
+jPPөFWLrX9ұQWӕFFXӕQSK{LPD[X 6znz/1000
&{QJVXҩW33max = PÿF ĺ3ÿF ± 3 ĈӝQKiP WKӓDPmQ5z ȝP ĈӝWPNJLGDRQҵPWURQJYQJȝPȡȝP
Bài toán 3: *LiWKjQKJLDF{QJWKҩSQKҩWYӟLUjQJEXӝF5z ȝPF{QJVXҩW3WLrX KDRQKӓYjQăQJVXҩWJLDF{QJOӟQ
*LiWKjQKJLDF{QJ.ÿѭӧF[iFÿӏQKQKѭVDX>@
KMLKӋVӕNKҩXKDRPi\YjFKLSKtFKRF{QJQKkQÿӭQJPi\ IJ0WKӡLJLDQFѫEҧQ
KdFKLSKtOLrQTXDQÿӃQOҫQWKD\GDR IJc7VӕOҫQWKD\GDR
7WXәLEӅQFӫDGөQJFөFҳW
53 +jPPөFWLrX7KӡLJLDQFѫEҧQFҳWNKLSKD\IJ0 ĺPLQ
7URQJÿy>@ IJ07KӡLJLDQFѫEҧQFҳWNKLSKD\SK~W
&KLӅXGjLJLDF{QJ/ÿѭӧFWtQKWKHRF{QJWKӭFFӫDÿӝWPNJLGDRȡ>@
Trong ÿy ȡ0ÿӝPzQPNJLGDREDQÿҫXȝP ǻȡÿӝPzQPNJLGDRWKHRWKӡLJLDQJLDF{QJȝPǻȡ / 0,43 ÿӕLYӟL WKpSKӧSNLPYjǻȡ / 0,41 ÿӕLYӟLKӧSNLPFӭQJ>@7URQJF{QJ WKӭFQj\FKLӅXGjL/ÿѭӧFWtQKWKHRÿѫQYӏNP
*LҧVӱWDVӱGөQJGөQJFөFҳWOjWKpSKӧSNLPNKLÿyWKӡLJLDQFѫEҧQFҳWNKLSKD\ IJ0 ÿѭӧFYLӃWOҥLOj
/ѭӧQJWLӃQGDRUăQJ6z (mm) ĈӝWPNJLGDRȡȝP
54 7ӕFÿӝFXӕQSK{LXOӟQ ĈӝQKiPWKӓDPmQ5z ȝP ĈӝWPNJLGDRQҵPWURQJYQJȝPȡȝP
Quy trình giҧi bài toán tӕLѭXYjNӃt quҧ
Bài toán 1
9ӟLFiFJLiWUӏÿmELӃWOj' PPK PPQ USP] E PP 7URQJWUѭӡQJKӧSYӟLJyFWUѭӟFȖ 0 WKHRÿLӅXNLӋQ.XKQ± TXFNHUӣF{QJWKӭF WDJLҧLEjLWRiQWKHRF{QJWKӭF
6DXNKLJLҧLYjORҥLEӓFiFQJKLӋPҧRWDÿѭӧFEҧQJQJKLӋPVDXEҧQJYjÿѭӧF WKӇKLӋQQKѭWUrQKuQK%ҧQJ QJKLӋPÿҫ\ÿӫÿѭӧFWKӇKLӋQWURQJEҧQJSKөOөF
B̫ng 4.7 B̫ng nghi m sau khi gi̫i bài toán 1 b̹ng Kuhn ± Tucker
1JKLӋPWKӭ Sz (mm) ȡȝP u1 u2 u3
Hình 4.4 3KkQE͙FiFÿL͋PQJKL PFͯDEjLWRiQ
;pWWKHRPLӅQ6z ÿDQJTXLKRҥFK6z PPPPWKuWUrQKuQKFKӍ FyQJKLӋP6z = 0,5942, Sz = 0,6965 và Sz OjWKӓDPmQ7X\QKLrQÿӇFy WKӇWұQGөQJWӕLÿDÿӝWPNJLGDRȡWӭFOjWKӓDPmQJLiWUӏȡÿDQJ[pWWӯȝPÿӃQ ȝPӣFKӃÿӝFҳWEҩWNuWKuFKӍFyYӏWUt6z = PPĺ6z PPWӯÿyWD FyWKӇ[iFÿӏQKÿѭӧFPLӅQF{QJVXҩWWӕLѭXQKѭKuQK
Hình 4.5 0L͉QF{QJVX̭WW͙L˱XEjLWRiQ
56 1Kѭ Yұ\ PLӅQ F{QJ VXҩW WӕL ѭX FӫD EjL WRiQ Oj JLi WUӏ 3 Wӯ N: ÿӃQN:WѭѫQJӭQJYӟL6z WӯPPÿӃQPPQKҵPÿӇWKӓDPmQFiFUjQJEXӝFFӫDEjLWRiQYjÿӗQJWKӡLÿҧPEҧRȡÿѭӧFVӱGөQJOLrQWөFWӯȝPÿӃQȝP
Bài toán 2
9ӟLFiFJLiWUӏÿmELӃWOj' PPK PPQ USP3ÿF N:OӵDFKӑQ ӣEҧQJ] E PP7URQJWUѭӡQJKӧSYӟLJyFWUѭӟFȖ 0 WKHRÿLӅX NLӋQ.XKQ± 7XFNHUӣF{QJWKӭFWDJLҧLEjLWRiQWKHRF{QJWKӭF
6DXNKLJLҧLYjORҥLEӓFiFQJKLӋPҧRWDÿѭӧFEҧQJQJKLӋPVDXEҧQJYjÿѭӧF WKӇKLӋQQKѭWUrQKuQK%ҧQJQJKLӋPÿҫ\ÿӫÿѭӧFWKӇKLӋQWURQJEҧQJSKөOөF
B̫ng 4.8 B̫ng nghi m sau khi gi̫i bài toán 2 b̹ng Kuhn ± Tucker
1JKLӋPWKӭ Sz (mm) ȡȝP) u1 u2 u3 u4
Hình 4.6 3KkQE͙FiFÿL͋PQJKL PFͯDEjLWRiQ
7UrQPLӅQSKkQEӕFiFÿLӇPQJKLӋPQKѭKuQKFKӍFyÿLӇPQJKLӋPOjQҵP WURQJ YQJ TXL KRҥFK 6z (Sz Wӯ PP ÿӃQ PP EDR JӗP 6z = 0,5914mm,
0,5942mm, 0,6965mm, PPYjPPÿLӇPQj\ORҥLGR5z ȝP.KL
[pW ÿӃQ ÿLӅX NLӋQ UjQJ EXӝF F{QJ VXҩW FҳW QKӓ KѫQ KRһF EҵQJ F{QJ VXҩW ÿӝQJ Fѫ ÿѭӡQJYӁWURQJKuQKWKuPLӅQJҥFKFKpROjKRjQWRjQWKӓDPmQEjLWRiQ
/~FQj\PөFWLrXFӫDEjLWRiQOjQăQJVXҩWFDRQKҩWVӁÿҥWÿѭӧFNKLYӏWUt6z ÿҥW JLiWUӏPPWѭѫQJÿѭѫQJYӟLYұQWӕFFXӕQSK{LX 6znz/1000 = 36,72 m/phút
1ӃXJLҧVӱWDNӃWKӧSJLiWUӏPLӅQF{QJVXҩWFҳWQKӓQKҩWQKѭӣEjLtoán 1 vào EjLWRiQWKuUjQJEXӝFK1 VӁFyVӵWKD\ÿәL
.KL3 N:KuQKPLӅQWӕLѭXEӏWKXKҽSOҥLÿӇÿҧPEҧRJLi WUӏȡÿҥWOLrQWөFWӯȝPÿӃQȝPWKuFKӍFyWҥLYӏWUt6z = 0,6965mm, FiFJLiWUӏ6z NKiFWKuȡSKҧLQKӓKѫQȝP
Khi P = N:KuQKPLӅQWӕLѭXEҵQJYӟLPLӅQNӃWTXҧFӫDEjL WRiQQKѭQJJLiWUӏ3VӁJLҧPWLrXKDRWLӃWNLӋPFKLSKtPLӅQWӕLѭXWӯ JLiWUӏ6z PPÿӃQPPVӁÿҧPEҧRȡÿҥWOLrQWөFWӯȝP ÿӃQȝP
.KLNӃWKӧSEjLWRiQYjREjLWRiQ3 N:ÿӃQ3 N:ļ6z PPÿӃQPPWKuPөFWLrXQăQJVXҩWFDRQKҩWVӁFyJLiWUӏYұQWӕFFXӕQSK{LX PSK~WÿӃQPSK~W
Hình 4.8 0L͉QW͙L˱XEjLWRiQYͣLWKrPUjQJEX͡F3 ÿF = 9,581kW
Hình 4.9 0L͉QW͙L˱XEjLWRiQYͣLWKrPUjQJEX͡F3 ÿF = 12,58kW
Bài toán 3
9ӟLFiFJLiWUӏÿmELӃWOjQ USP] E PPȡ0 ȝPȥC ȥ Ȗ
12 0 *LiWUӏFӫDYұQWӕFFXӕQSK{LQҵPWURQJNKRҧQJPSK~WÿӃn 36,72m/phút WKHRF{QJWKӭFX Q]6z WѭѫQJӭQJYӟL6z WKD\ÿәLWӯPPÿӃQPP ĈӗWKӏFӫDKjPWKӡLJLDQJLDF{QJIJ0 WKHRF{QJWKӭFOjKjPÿѭӡQJFRQJÿҥWJLi WUӏIJ0 WҥLYӏWUtȡ ȝP
Công VXҩWFҳW3QKӓQKҩW
1ăQJVXҩWJLDF{QJOӟQWӕFÿӝFXӕQSK{LXOӟQ ĈӝQKiPWKӓDPmQ5z ȝP ĈӝWPNJLGDRQҵPWURQJYQJȝPȡȝP
/ѭӧQJWLӃQGDRWURQJNKRҧQJNKҧRViWPP6z PP
.KLWD[pWÿLӅXNLӋQUjQJEXӝFOѭӧQJWLӃQGDR6z QҵPWURQJNKRҧQJNKҧRViW
PP6z PPWӭFOjWҥLYӏWUtȡ ȝPÿLӇPFXӕLÿѭӡQJFRQJWKӡLJLDQ
JLDF{QJIJ0 SKҧLÿLTXDPLӅQPP6z PPĈLӅXQj\FyQJKƭDOjPLӅQWKӡL JLDQJLDF{QJ IJ0 VӁEӏJLӟLKҥQ WҥL ÿLӇPQ~W6z PPȡ ȝPYj 6z PPȡ ȝPWѭѫQJӭQJYӟLSK~WIJ0 SK~WNKLWDNӃWKӧSWKrP YӟLÿLӅXNLӋQ5z ȝPWKuPLӅQQj\VӁJLӟLKҥQFzQSK~WIJ0 SK~WWҥL YӏWUtWӕLѭXÿmWuPÿѭӧFӣEjLWRiQ6z PPȡ ȝPYj6z = 1,2659mm, ȡ ȝPKuQK7ҥLÿѭӡQJȡ ȝPÿӇÿҧPEҧR5z ȝPWKuPLӅQNKҧR sát Sz VӁFzQOjPPPP
Hình 4.10 &iFÿ˱ͥQJJLͣLK̩QFͯDIJ 0 trong bài toán 3
7ӯKuQKWUrQFyWKӇWKҩ\UҵQJÿѭӡQJWKӡLJLDQJLDF{QJIJ0 WUrQFKLӅXGjL WҥLYӏWUtȡ ȝPOjPӝWÿѭӡQJFRQJFy[XKѭӟQJJLҧPJLiWUӏIJ0 khi Sz FjQJWăQJ ÿѭӡQJFRQJFjQJQJKLrQJYӅSKtDErQSKҧLQKLӅXKѫQQӃX6z WăQJ&NJQJFyQJKƭD OjÿӇÿҧPEҧRUҵQJ5z ȝPWKuIJ0 QKӓQKҩWFKtQKOjÿѭӡQJIJ SK~WĈѭӡQJ FRQJQj\ÿѭӧFFKLDWKjQKÿRҥQPӝWÿRҥQ5z ȝPYjPӝWÿRҥQ5z ȝP
Hình 4.11 Ĉ˱ͥQJJLDF{QJOêW˱ͧQJFKREjLWRiQF{QJVX̭WQK͗QK̭WKR̿FQăQJ
62 KLÿѭӡQJFRQJIJ SK~WӣÿRҥQ5z ȝPWKuJLiWUӏOѭӧQJWLӃQGDRVӁ WKD\ÿәLWӯPP6z PPYjÿӝWPNJLGDRWKD\ÿәLWӯȝPȡȝP (hình 4.11)
;pWÿLӅXNLӋQF{QJVXҩWFҳW3QKӓQKҩWF{QJVXҩWFҳWFjQJQKӓÿӗQJQJKƭD
YӟLYLӋFJLiWUӏ6z FjQJQKӓFKӭQJPLQKӣKuQKNKLNӃWKӧSYӟLÿLӅXNLӋQUjQJ EXӝFWKӡLJLDQJLDF{QJIJ0 QKӓQKҩWIJ SK~WYjÿӝQKiP5z ȝPWKuÿѭӡQJ JLҧLOêWѭӣQJWURQJEjLWRiQQj\OjÿѭӡQJ/LQHQKѭWUrQKuQKĈѭӡQJQj\EDR JӗPÿRҥQ ĈRҥQ7ӯȝPȡȝPWKuÿѭӡQJJLDF{QJOêWѭӣQJVӁFKҥ\WKHR ÿѭӡQJIJ SK~W ĈRҥQ7ӯȝPȡȝPWKuÿѭӡQJJLDF{QJOêWѭӣQJVӁFKҥ\WKHR ÿѭӡQJWKҷQJӣQJX\rQJLiWUӏ6z PP.KLÿyWKӡLJLDQJLDF{QJ IJ0 VӁWKD\ÿәLOLrQWөFWӯSK~WIJ0 SK~W
;pWÿLӅXNLӋQQăQJVXҩWJLDF{QJOӟQQKҩWQăQJVXҩWJLDF{QJFjQJOӟQÿӗQJ
QJKƭDYӟLYLӋFJLiWUӏ6z FjQJOӟQGRYұQWӕFFXӕQSK{LXWӍOӋWKXұQYӟLOѭӧQJWLӃQ dao SzNKLNӃWKӧSYӟLÿLӅXNLӋQUjQJEXӝFWKӡLJLDQJLDF{QJIJ0 QKӓQKҩWIJ SK~WYjÿӝQKiP5z ȝPWKu ÿѭӡQJJLҧLOêWѭӣQJWURQJEjLWRiQQj\OjÿѭӡQJ/LQH QKѭWUrQKuQK ĈѭӡQJ/LQH7ӯȝPȡȝPWKuÿѭӡQJJLDF{QJOêWѭӣQJVӁ
FKҥ\WKHRÿѭӡQJFRQJViWYӟLJLiWUӏPLӅQ5z ȝPYjWӯȝPȡ ȝPWKuÿѭӡQJJLDF{QJOêWѭӣQJVӁJLDF{QJYӟL JLӳQJX\rQJLiWUӏ OѭӧQJWLӃQGDR6z PP7UѭӡQJKӧSQj\WKuQăQJVXҩWVӁÿҥWWӕLѭX QKҩWWX\QKLrQVӁFyÿRҥQJLiWUӏ6z EXӝFSKҧLWKD\ÿәLOLrQWөFÿӇÿҧP EҧRUҵQJ5z ȝP
0LӅQJҥFKFKpRQҵPErQWURQJFҧÿѭӡQJ/LQHYj/LQHVӁKRjQWRjQWKӓD PmQPөFWLrXWKӡLJLDQJLDF{QJWҥLYӏWUtȡ ȝPVӁWLӃQWӟLJLiWUӏIJ SK~W ÿӝQKiPWKӓDPmQ5z ȝPÿӝWPNJLGDRQҵPWURQJYQJȝPȡȝPYjOѭӧQJWLӃQGDRWURQJNKRҧQJNKҧRViWPP6z PP7X\QKLrQW\WKHR
\rXFҫXYӅF{QJVXҩWFҳWQKӓQKҩWKRһFQăQJVXҩWJLDF{QJOӟQQKҩWPjFKӑQPLӅQFKRSKKӧS
Ӭng dөng kӃt quҧ
9ӟLNӃWTXҧFӫDEjLWRiQYjWDWKXÿѭӧFPLӅQJLiWUӏWӕLѭXWKӓDPmQF{QJ VXҩWFҳWQKӓQKҩWKRһFQăQJVXҩWJLDF{QJOjFDRQKҩWÿӗQJWKӡLYүQEҧRÿҧPFác ràng EXӝFÿmÿһWUD7X\QKLrQӣEjLWRiQQj\FKӍPDQJWtQKFKҩWOjÿѫQPөFWLrXFKѭD SKKӧSKRjQWRjQYӟLFKӍWLrXWKӵFWӃErQQJRjLӢEjLWRiQWDÿmPӣUӝQJEjLWRiQ UDWKjQKÿDPөFWLrXEDRJӗPFiFÿѫQPөFWLrXNӃWKӧSYӟLQKDXFөWKӇOjJiá thành JLDF{QJWKҩSNӃWKӧSYӟLF{QJVXҩWFҳWQKӓQKҩWKRһFJLiWKjQKWKҩSNӃWKӧSYӟLQăQJ VXҩWJLDF{QJFDRQKҩWWURQJPLӅQTX\KRҥFKPLӅQWӕLѭXOjPLӅQQҵPWURQJFiF ÿѭӡQJOLQHYjOLQHQKѭWUrQKuQK7DVӁӭQJGөQJNӃWTXҧFӫDEjLWRiQnày ÿӇWҥRWKjQKEӝWK{QJVӕWӕLѭXPjPi\&1&FyWKӇFKҥ\
%ӝWK{QJVӕWӕLѭXYӟLFKӍWLrXJLiWKjQKJLDF{QJWKҩSNӃWKӧSYӟLF{QJ VXҩWFҳWQKӓQKҩW ĈѭӡQJELrQFӫDFKӍWLrXQj\FKtQKOjÿѭӡQJOLQHWUrQKuQK9ӟLWK{QJVӕ ÿҫXYjREDRJӗPQ USP] WRRWKȡ0 ȝPÿѭӡQJOLQHÿyÿѭӧFWtQK WRiQYӟLJLiWUӏFӫDWӯQJÿLӇPȡWKD\ÿәLWӯȝPÿӃQȝPQKѭWUrQEҧQJ7UrQ EҧQJEDRJӗPFiFJLiWUӏWtQKWRiQWѭѫQJӭQJFӫDÿӝWPNJLGDRȡOѭӧQJWLӃQGDR UăQJ6zFӝWPӕFFKLӅXGjLJLDF{QJ/ÿҥWÿѭӧFPӛLNKLȡWKD\ÿәLYjWKӡLJLDQFKX\ӇQ WLӃSFӫDFiFPӭFȡ
B̫ng 4.9 B͡ thông s͙ t͙L˱XJLiWKjQKJLDF{QJN͇t hͫp công sṷt c̷t ĈӝWPNJL
/ѭӧQJWLӃQGDR UăQJ6z (mm)
&KLӅXGjL/ÿҥWNKL WKD\ÿәLȡP
7ӯEҧQJWDFyNӃWTXҧWXәLWKӑGDRWURQJFKXNuOjNKRҧQJJLӡ WѭѫQJӭQJYӟLÿӝWPNJLGDRȡWKD\ÿәLWӯȝPÿӃQȝPFKLӅXGjLJLDF{QJJLӟL KҥQFKROҫQWKD\GDROjNKRҧQJP
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Hình 4.12 Ĉ͛WK͓TXDQK JLͷDO˱ͫQJWL͇QGDRUăQJ6 z YjP͙FWKͥLJLDQFKX\͋QWL͇S
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