Question

A slider-crank mechanism is a four-link mechanism with three revolute joints and one prismatic, or sliding, joins. The rotation of the crank drives the linear movement the slider, or the expansion of gases against a sliding piston in a cylinder can drive the rotation of the crank. From the literature (text book, internet, your source ... etc.) choose a real case study uses a slider crank mechanism to do the following studies; Study the kinematic and dynamic analysis of the motion of the mechanism Study the balance of the mechanism ( as it is reciprocating system) Do one of the following; Design a flywheel to connect with the crank shaft to store energy or to reduce the fluctuation of the speed Choose a suitable gear train from your point of view to be connected with the crank shaft to deliver a specified transmission ratio

Answer 1

Consided a slicler Coank mechanism in an figure engine as shown in the قا 17 →lo lac o B. AI А B, В TIT K 2 At the beginning of stroke, piston is at extreme left position (BAO} is Stonight line). Coank connecting ond are collinear Now crank rotates in the anticbockwise direction due to a force/ pressure exerted in the piston ao angular velocity of crank ce- angular velocity of connecting ood &- angular acceleration of connecting and of- angulae aceelezation of some o - angle made by chant with hosizontal ß - angle made by con connecting ood at horizontal, we know I sing = sino xh Sino Yr Crank. = sinpesino z n where ne la 2 Cosß I n2_sindo i) Displacement of the piston z BB ² BO-BO > (fto) - Gesp + acoso) (nath) - (no cospt hos o so) å [l-colo) + n-152-site] 2 2 af b² >>sino -> 27 [i-coso) ii) Velocity of piston 2 Vzdn dt da do Х do dt coxd do [{1-60) +h-Wn2sisto] ] у? 9 У [sing sino t sin do a una sinto

V2 wo sino t sinao [sino + ana-sinio 42 n²s sinio then V z 2 49 (sino sino & sinao an Azdv ii) Accelesati on of piston 2 x d [owe [sino + sindo [ coso + I 1 Cos20 at do an ) 2 ro? iv) angular velocity of connecting sod Sinß Sosp. dp I (oso x do -) 11- Sinap eo Sino n w Coso И We a w Coso ſna-sino w Angular acceleration of connecting rod 2 n xa duc de -ws sino [ de (m2- sivo / Dynamic Analysis / Force Analysis Fp - Applied force / pressure Fc 11!1 l force Ff - frictional force TE FP II BIIT Fi ti - Inestia fone би The net foru piston is called a Effective tractive force F where Fi=ma F 2 Fp - Ff - ma m - mass of piston a- accelegation of piston

1 Fa • Fc Free body diagram of piston Fo Effective bactive force Fa - Reaction force by wall Fc-force transmitted through 1 Connecting frod. Faz Fe sing F₂Fc los ß Fez Faz x Simp a Flang Coß Cosß Faz 2 Sign Etang F IBFC fro and Face Crank FCA poulood te is tore in connecting and Ft - Component of the in tangential direction - Coant effort Face body diagrams and of Fy - Force transmitted Harough coant. FE Esin (otp) F sin(+B) wil when & 298 when 0298 z zF cose who Fr = Fc. Cos (ots) - E Cos (6 tp son & lothlesst Cosp Women z moment on crank Te Turning 2 FEXR power transmitted by crank z Txw.