# Basic Gas Spring Theory

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3 For a closed system, as the gas sprig, where the temperature is kept costat (isothermic process) this formula ca be simplified to: p V = costat (Boyles law) Calculatig the gas pressure at a certai poit of the stroke (S) ca be performed i the followig way: p o V o = p s V s p o (bar) V o (l) p s (bar) V s (l) = iitial pressure = iitial volume = pressure at stroke S = volume at stroke S By combiig this with the followig ca be derived to calculate the force at ay positio of the stroke (N) = force at the used stroke S F iit,actual (N) = iitial force at curret chargig pressure (mm) = used stroke (mm) = omial stroke for the sprig (N) = omial iitial force of the sprig F ed (N) = force at full omial stroke, ad F ed,om are give for each model i the catalogue. If the force has ot bee chaged (the charge pressure has ot bee modified) will be the same as the which is the value give i the catalogue. Note! All ed forces, stated i the catalogue are the isothermic ed forces. Example II What is the sprig force of a TU whe compressig the sprig 80 mm? = 80 mm The table for the TU 1500 (see page 2.6/24) will give the followig values: = 100 mm = N = (80 mm) = N If the temperature of the gas sprig is kept costat, (isothermic process), the sprig will give a force of N whe compressed 80 mm. Polytropic force icrease For most applicatios the temperature iside the gas sprig will ot stay costat durig the stroke. For these applicatios the followig formula should be used to calculate the true force icrease (polytropic process) Where is called the polytropic expoet. Depedig o how fast the gas sprig is compressed ad the iitial gas pressure, the -value will be betwee 1 ad For a ormal applicatio i a press tool ad a chargig pressure of 150 bar, a value of 1.4 ca be used.

4 S, om ad F ed,om are give for each model i the catalogue. If the force has ot bee chaged (the charge pressure has ot bee modified) will be the same as the which is the value give i the catalogue. Note! All ed forces, stated i the catalogue are the isothermic ed forces. Example III What is the polytropic ed force of a TU , whe usig a stroke of 80 mm i a ormal press applicatio?, polytropic - 1- Iitial force depedig o temperature The temperature of the itroge gas affects the pressure i, ad the force of, the gas sprig. The forces give i the catalogue are based o a temperature of 20 C. Usig the same basic as before the pressure ad force at other temperatures ca be calculated as follows: p 0 p 1 = ( K) = Referece temperature ( K) = Gas sprig temperature F ed,om = 100 mm = 80 mm = N = 1.4 ( ormal press applicatio ) p 1 = p 0 As the force is proportioal to the pressure, it ca also be writte as:, polytropic (80 mm) =, polytropic (80 mm) = N = F 0 Example IV A gas sprig with a iitial force of N at 20 C is used i such a way that the gas sprig temperature is icreased to 60 C. What iitial force will the sprig have at 60 C? Solutio usig = F 0 F 0 = C = 333 K = C = 293 K = 333 = N 293

5 The Safer Choice 1 ABOUT THE COMPANY 2 GAS SPRINGS INCLUDING STANDARD MOUNTS 3 SPECIAL MOUNTS 4 GAS LINK SYSTEM 5 PROBLEM SOLVERS AND ACCESSORIES 6 LIFTERS 7 MACHINE AND VEHICLES 8 SERVICE AND MAINTENANCE 9 PIERCING AND FORMING UNITS / CAMS 10 CONTROLLABLE GAS SPRINGS For more iformatio see our website

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