Machine Foundation Analysis VERIFICATION MANUAL REV D
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1 Machine Foundation Analysis VERIFICATION MANUAL REV D TM
2 Page:2 COPYRIGHT The computer program CLOCKWORK and all associated documentation are proprietary and copyrighted products. Worldwide rights of ownership rest with NEWTONIAN MACHINES. Unlicensed use of the program or reproduction of the documentation in any form, without prior written authorization from NEWTONIAN MACHINES is explicitly prohibited. NEWTONIAN MACHINES ANDRÉS DE FUENZALIDA 147 PROVIDENCIA, SANTIAGO, CHILE Tel: (+56 2) contact@newtonianmachines.com Web:
3 Page:3 CONTENT I. INTRODUCTION TEST CASE TEST CASE TEST CASE TEST CASE TEST CASE
4 Page:4 I. INTRODUCTION Clockwork is a foundation design and analysis software, based on well-known and internationally accepted theories. This document provides example problems from recognized publications in order to verify the achievement of accuracy and acceptable results. However and by the nature of this software, it is difficult to find suitable examples for this verification manual since most publications are conceived to be a guide for engineers by doing hand calculations, aside from the laborious task that it is for example calculate a structure with six degree of freedom, natural frequencies for a coupled system, intricate periodic loads, etc. The analyzed tests in this manual are just a small part of the rigorous tests that our developers run in the testing stage to ensure the quality of Clockwork.
5 Page:5 1. TEST CASE 1 Dynamic load of single-cylinder compressor. a. Overview Reference: [1] Foundation Vibration Analysis Using Simple Physical Models, John P. Wolf, pg. 56., ISBN: Dynamic Load Type: Periodic Excitation Units: tonnef / m b. Problem Description On a rigid block foundation rests a reciprocating machine composed of a compressor and a driving motor, which generates a vertical unbalanced dynamic load with two components. The first component acts at a frequency of 9Hz and the second component at twice this frequency. The resulting dynamic total load it is represented by P(t) (Fig.1.1). c. Input Parameters Compressor and driving motor mass = Dynamic Load Total load acts vertically on the foundation block. Total Load P(t) = Total Load Operation Frequency = 9 Hz Number of terms used in Fourier Series = 20 Fig. 1.1 Dynamic total load from vertical single-cylinder compressor.
6 Page:6 Rigid Foundation Block Size Length = 2.0 m Width = 1.5 m Height = 1.0 m Soil Poisson s Ratio µ = 0.33 Specific Mass Density ρ = d. Analysis Shear Modulus G = For this analysis the Cone method it is used in Clockwork. e. Results Comparison Measured Value Clockwork Displacement Ref[1] Displacement [mm] [mm] Lower Peak ± * Higher Peak ± * * Displacement value from Fig. XX [1] Fig1.2 - Dynamic vertical displacement from Clockwork results.
7 Page:7 2. TEST CASE 2 Dynamic load of weaver s loom. a. Overview Reference: [1] Foundation Vibration Analysis Using Simple Physical Models, John P. Wolf, pg. 56, ISBN: Dynamic Load Type: Periodic Excitation Units: tonnef / m b. Problem Description On a rigid block foundation rests a weaver s loom operating at 9Hz with a mass of 2750kg. In this case the load is expressed as a Fourier series with 20 terms (Fig 2.1). c. Input Parameters Weaver s loom mass = Dynamic Load Load acts vertically on the foundation block. Vertical Load P(t) Fig 2.1 Dynamic vertical load from weaver s loom. Load Operation Frequency = 9 Hz up to 180 Hz Number of terms used in Fourier Series = 20
8 Page:8 Rigid Foundation Block Size Length = 2.0 m Width = 1.5 m Height = 1.0 m Soil Poisson s Ratio µ = 0.33 Mass Density ρ = d. Analysis Shear Modulus G = For this analysis the Cone method it is used in Clockwork e. Results Comparison Measured Value Clockwork Displacement Ref[1] Displacement [mm] [mm] Lower Peak ± * Higher Peak ± * * Displacement value from Fig [1] Fig 2.2 Dynamic vertical displacement from Clockwork results.
9 Page:9 3. TEST CASE 3 Vertical single-cylinder compressor. a. Overview Reference: [2] Vibration of Soils and Foundations, F. E. Richart, Jr., pg ISBN: Dynamic Load Type: Harmonic Excitation Measured Units: lbf / ft b. Problem Description c. Input Parameters Weight * f compressor = Dynamic Load Load acts vertically on the foundation block. Vertical Load = Fig. 3.1 Dynamic vertical load Load Operation Frequency = 7.5 Hz
10 Page:10 Rigid Foundation Block Size Length = 16 ft Width = 7 ft Height = 3 ft Soil Poisson s Ratio µ = 0.33 Mass Density ρ = d. Analysis Shear Modulus G = For this analysis all available methods were used in Clockwork. e. Results Comparison Measured Clockwork Displacement Displacement Ref[2] Value [in] Zero to Peak [ft] [in]
11 Page:11 4. TEST CASE 4 a. OVERVIEW The Foundation from Fig 4.1 was subjected to six load cases in order to compare results using SAP2000 and Clockwork. Dynamic Load Type: Harmonic Excitation Units: SI Damping and Group Effect were not considered. a. PROBLEM DESCRIPTION A square foundation is loaded on one of its edges and on the geometric center of gravity of the soil contact area. b. PARAMETERS FOUNDATION PARAMETERS Number of Piles 4 Pile Diameter Foundation Height Foundation Length Foundation Width 400 mm 1000 mm 3000 mm 3000 mm Specific Weight 2500 kgf/m 3 Soil Stiffness 80 kgf/cm 2 Foundation Weight kgf PILES LOCATION X - mm Y - mm Pile Pile Pile Pile Fig 4. 1 Pile Foundation on SAP2000 CASE Location Load Location Load X Y Z tonf mm mm mm 1 X Y Z X Y Z
12 Page:12 c. RESULTS - SAP2000 v15 Measured Points Displacements Angular Displacements CASE X Y Z u1 u2 u3 θ1 θ2 θ3 mm mm mm m m m rad rad rad ,77E-04 2,29E-04 4,00E ,70E-05-1,52E ,29E-04 4,77E-04-4,00E-05-2,70E ,52E ,00E-05 4,00E-05-8,90E-05-2,40E-05-2,40E ,21E ,60E ,10E ,21E-04-1,60E-05-1,10E ,70E ,21E ,70E-05-1,52E ,21E ,70E ,52E ,60E-05 1,60E-05-1,70E-05-2,40E-05-2,40E ,10E ,10E ,10E ,10E ,70E RESULTS - CLOCKWORK v12 Measured Points Displacements Angular Displacements CASE X Y Z u1 u2 u3 θ1 θ2 θ3 mm mm mm m m m rad rad rad ,76E-04 2,28E-04 4,01E ,67E-05-1,52E ,28E-04 4,76E-04-4,01E-05-2,67E ,52E ,01E-05 4,01E-05-8,85E-05-2,39E-05-2,39E ,21E ,61E ,07E ,21E-04-1,61E-05-1,07E ,65E ,21E ,67E-05-1,52E ,21E ,67E ,52E ,61E-05 1,61E-05-1,65E-05-2,39E-05-2,39E ,10E ,07E ,10E ,07E ,65E Fig 4.2 Pile Foundation on Clockwork 12
13 Page:13 Porcentual Difference of Results between SAP2000 and Clockwork Measured Point Location Displacements Angular Displacements CASE X Y Z u1 u2 u3 θ1 θ2 θ3 mm mm mm m m m rad rad rad ,21% 0,44% 0,25% 0,00% 1,11% 0,00% ,44% 0,21% 0,25% 1,11% 0,00% 0,00% ,25% 0,25% 0,56% 0,42% 0,42% 0,00% ,00% 0,00% 0,62% 0,00% 2,73% 0,00% ,00% 0,00% 0,62% 2,73% 0,00% 0,00% ,00% 0,00% 2,94% 0,00% 0,00% 0,00% ,00% 0,00% 0,00% 0,00% 1,11% 0,00% ,00% 0,00% 0,00% 1,11% 0,00% 0,00% ,62% 0,62% 2,94% 0,42% 0,42% 0,00% ,00% 0,00% 0,00% 0,00% 2,73% 0,00% ,00% 0,00% 0,00% 2,73% 0,00% 0,00% ,00% 0,00% 2,94% 0,00% 0,00% 0,00%
14 Page:14 5. TEST CASE 5 a. OVERVIEW The Foundation from Fig 5.1 was subjected to six load cases in order to compare results using SAP2000 and Clockwork. Dynamic Load Type: Harmonic Excitation Units: SI Damping and Group Effect were not considered b. PROBLEM DESCRIPTION A square foundation is loaded on one of its edges and on the geometric center of gravity of the soil contact area. c. PARAMETERS FOUNDATION PARAMETERS Piles: 6 Pile Diameter: 400 mm Block 1 - Height: 1500 mm Block 1 - Length: 2000 mm Block 1 - Width: 3000 mm Block 2 - Height: 2500 mm Block 2 - Length: 3000 mm Block 2 - Width: 3000 mm Reinf. Concrete Specific Weight 2500 kgf/m 3 Peso fundación : 78,75 kgf Soil Stiffness 80 kgf/cm 2 Fig 5. 1 Pile Foundation on SAP2000 Fig 5. 2 Pile Foundation on Clockwork 12
15 Page:15 PILES LOCATION X mm Y mm CASE Location Load tonf X mm Y mm Pile 1 : Pile 2 : Pile 3 : Pile 4 : Pile 5 : Pile 6 : X Y Z X Y Z RESULTS SAP2000 v15 Measured Points Displacements Angular Displacements Caso X Y Z u1 u2 u3 θ1 θ2 θ3 mm mm mm m m m rad rad rad ,49E-04 1,57E-04 2,20E ,87E-06-6,30E ,57E-04 4,84E-04-6,00E-05-4,00E ,05E ,20E-05 6,00E-05-7,80E-05-2,80E-05-1,00E ,41E ,84E ,73E ,62E-04-1,80E-05-1,20E ,10E ,41E ,87E-06-6,30E ,62E ,00E ,05E ,84E-06 1,80E-05-1,10E-05-2,80E-05-1,00E ,37E ,73E ,44E ,20E ,10E RESULTS - CLOCKWORK v12 Measured Points Displacements Angular Displacements Caso X Y Z u1 u2 u3 θ1 θ2 θ3 mm mm mm m m m rad rad rad ,49E-04 1,57E-04 2,22E ,88E-06-6,29E ,57E-04 4,84E-04-6,01E-05-4,00E ,04E ,22E-05 6,00E-05-7,80E-05-2,76E-05-1,02E ,41E ,87E ,75E ,62E-04-1,86E-05-1,24E ,10E ,41E ,88E-06-6,29E ,62E ,00E ,04E ,87E-06 1,86E-05-1,10E-05-2,76E-05-1,02E ,37E ,75E ,43E ,24E ,10E
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