This guide has been released to have fun the 19th anniversary of the Termomeccanica beginning. the purpose is to supply rookies with an software to assist them procedure the sphere of centrifugal pumps, and more matured individuals with an efficient aid of their day-by-day paintings. we wish to take the chance to specific our due to the contributors of the layout. Engineering, Product improvement, caliber coverage and After revenues provider Departments, who've made an important contribution in moving and condensing the adventure of the corporate into this guide.
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Extra info for Centrifugal Pump Handbook
3-41) Henee, the tangential eontaet stiffness for one area element is proportional to the eontaet area, see also Fig. 3-9, but is nonlinearly dependent on the relative normal displacement. -direction amI, henee, the modeled contact behavior is isotrop. The limiting value ux '= / of the dimensionless contaet stiffness is reached, if the eontaet area is identical to the nominal eontaet area. 4 Hyperbolic Contact Law The above described analysis holds only, if the relative normal displaeements are smal!.
4-8) = (). 4-10) where q denotes the veetor of modal coordinates. The dimension of this veetor is equal to the number 111 of eigenveetors used to deseribe the displacements of the elastie body. 4-1 0) leads to T J MTii + TI DTlj + TI KTq = Tlf", . 4-14) with the angular eigenfrequeney o~Jj of the /" mode. Note, that the modal matri x T can incIude rigid body modes to deseribe large translations 01" an elastie body. The corresponding angular eigenfrequeney of those modes is zero. 4-15) 28 2 Dynamical Description of Elastic Bodies where the vibration modes are uncoupled.
3-8. In the limit, the nominal length Po is identical to thc roughness R-b which corresponds to R z '= 1. Then, it can be seen, that the normal contact force is identical to infinite, if the relative displacement Ux is equal to the value of Rz or u/=l. This normal force-displacement relationship would have been used, if an infinite number of modes or, as described in Chap. 2, the approximation by residual modes is used to describe the elasticity of the contacting bodies completely. The recaIculation of the tangential contact stiffness for large deformations gives the constitutive law Ll * c 11/.