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43 Online at www.imi-precision.com 1 43 MAGNETICALLY COUPLED RODLESS CYLINDERS For further information visit www.imi-precision.com, and use the new, improved search function. If you are unable to find the option you require please call: (937) 833-4033. Operating a MCHL-150 at 60 psi in a horizontal application, carrying a 100-pound load at 10 inches per second end-of-stroke velocity, the total energy, ET, is determined as follows. 1. Determine kinetic energy generated by the moving load using the formula, KE = 1/2 mV2. m = (W + weight of carriage)/g = (7.5 + 100)/32.179 = 3.34 lbm V = 10 in/sec = 0.833 feet per second KE = 1/2 * 3.34 * 0.8332 = 1.16 foot-pounds or 13.92 inch-pounds (1.16 x 12 inches) 2. Determine the propelling forces and their respective energy. Force (F) = piston area * air pressure = 1.76 * 60 = 106 pounds Energy (E) = F * stroke of shock = 106 * 0.5 = 53 inch-pounds 3. Total Energy (ET) = 53 + 13.92 = 66.92 inch-pounds Shock Absorbers (MCHL) Shock Absorbers Shock Absorbers can be used to decelerate loads or to absorb excess Kinetic Energy. Calculating Kinetic Energy When a load is being moved by the MCHL, kinetic energy is generated. This energy must be absorbed either by the MCHL or by some external device. If the energy is to be absorbed by the MCHL, then the energy must not exceed 3.5 foot-pounds (42 inch-pounds). Kinetic energy is defined by the formula 1/2mV2, where m is the mass of the load being moved and V is the speed at which the load is moving upon impact. m is defined as W/g, where W is the known weight of the load including the weight of the carriage, and g is acceleration due to gravity. V is defined in feet per second. Considering Total Energy In addition to the energy generated by the moving load, other external (propelling) forces must be considered to ensure the proper use of the shock absorber. See Table 3 (page ) for maximum force information. Propelling forces are those forces generated by cylinder air pressure, springs, gravity, etc. Once the energy generated by these forces is determined, it must be added to the kinetic energy generated by the moving load to determine total energy (ET) to be absorbed by the shock (see example below). Selecting Shock Absorber Setting The shock absorber offered for the MCHL is adjustable. This means that the shock absorber is capable of decelerating loads over a range of velocities. Use Graph 5 to determine the appropriate setting for your application. Some adjustment to this setting may be required to achieve the desired deceleration rate. Table 3 shows the shock absorber ratings. NOTE: If the total energy (ET) of your application exceeds the allowable maximum of 100 inch-pounds for the adjustable shock absorber, the standard MCHS-150 shock absorber may be used. BORE CARRIAGE WEIGHT 1-1/4" (125) 3.9 lbs. 1-1/2" (150) 7.5 lbs. tAbLE 2 Example (Total Energy):