A tool centre point (TCP) in space is defined as P (5,3,4) relative to a reference...

   

 

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A tool centre point (TCP) in space is defined as P (5,3,4) relative to a reference frame (Xo. Yo. Zo). Determine the new position vector and rotational matrix of the TCP: a) Rotated 90° about X, axis b) Translated 3 units along Yo, 6 unit along Zo and 5 unit along Xo c) Rotated 90° about Z axis (3 marks) (3 marks) (4 marks) A single-stage pressure control valve is shown. The purpose of the valve is to keep the load pressure PL constant. Volume rates of flow, pressures, and the volumes of fluid subjected to those pressures are indicated. The mass of the spool and appurtenances is m, the damping constant of the damping force acting on the moving parts is b, and the effective bulk modulus of oil is B. The accumulator volume is Va. The flow into the valve chamber (volume Vc) is through an orifice. This flow may be taken as proportional to the pressure drop across the orifice, the constant of proportionality being ko. A compressive spring of stiffness k restricts the spool motion. The initial spring force is set by adjusting the initial compression yo of the spring. a) Identify the reference input, the primary output, and a disturbance input for the valve system. b) Set up a block diagram for the system, showing various transfer functions. Single-Stage Pressure Control Valve Supply Area A Orifice (ko) CODD Spring Setting Yo (m, b) (P. Vc) ka, ke Qc PL (PL. V₂) QL Hydraulic Load Accumulator D A tool centre point (TCP) in space is defined as P (5,3,4) relative to a reference frame (Xo. Yo. Zo). Determine the new position vector and rotational matrix of the TCP: a) Rotated 90° about X, axis b) Translated 3 units along Yo, 6 unit along Zo and 5 unit along Xo c) Rotated 90° about Z axis (3 marks) (3 marks) (4 marks) A single-stage pressure control valve is shown. The purpose of the valve is to keep the load pressure PL constant. Volume rates of flow, pressures, and the volumes of fluid subjected to those pressures are indicated. The mass of the spool and appurtenances is m, the damping constant of the damping force acting on the moving parts is b, and the effective bulk modulus of oil is B. The accumulator volume is Va. The flow into the valve chamber (volume Vc) is through an orifice. This flow may be taken as proportional to the pressure drop across the orifice, the constant of proportionality being ko. A compressive spring of stiffness k restricts the spool motion. The initial spring force is set by adjusting the initial compression yo of the spring. a) Identify the reference input, the primary output, and a disturbance input for the valve system. b) Set up a block diagram for the system, showing various transfer functions. Single-Stage Pressure Control Valve Supply Area A Orifice (ko) CODD Spring Setting Yo (m, b) (P. Vc) ka, ke Qc PL (PL. V₂) QL Hydraulic Load Accumulator D

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Solution to SingleStage Pressure Control Valve Problem a Reference Input Primary Output and Disturbance Input Reference Input Ri This could be a desir... View the full answer