Dynamic Foundation from web
-
Upload
abu-ayman-rasyad -
Category
Documents
-
view
35 -
download
0
description
Transcript of Dynamic Foundation from web
-
1.0 GENERAL
1.1 Scope ----------------------------------------------------------------------------------------1.2 Definitions ----------------------------------------------------------------------------------------
2.0 REFERENCE CODES, STANDARD AND PROJECT DOCUMENTS
2.1 Industry Codes and Standards ------------------------------------------------------------------2.2 Company References ------------------------------------------------------------------2.3 Saudi Arabian Standard Organization ------------------------------------------------------------------2.4 Project Documents ------------------------------------------------------------------2.5 Reference Document ------------------------------------------------------------------
3.0 MATERIALS AND UNITS
3.1 Materials ----------------------------------------------------------------------------------3.2 Units of Measurements ----------------------------------------------------------------------------------
4.0 DYNAMIC FOUNDATION REQUIREMENTS
4.1 Foundation Grouping for Vibrating Machinery -------------------------------------------------------4.2 General Design Requirements -------------------------------------------------------
5.0 BLOWER FOUNDATION
5.1 General Sketch -----------------------------------------------------------------------5.2 The Soil and Foundation Paramete-----------------------------------------------------------------------5.3 Foundation Data -----------------------------------------------------------------------5.4 Equipment Data -----------------------------------------------------------------------5.5 Machine Data -----------------------------------------------------------------------
00
0
00
0
PAGE
0
0
0
TABLE OF CONTENTS
DECRIPTION
00
00
00
0
-
6.0 CHECK FOR BLOWER FOUNDATION DESIGN
6.1 The Mass Ratio of Blower Foundation -------------------------------------------------------6.2 The Minumum Thickness of Concrete Foundati -------------------------------------------------------6.3 The Width of Concrete Foundation -------------------------------------------------------6.4 Allowable Soil Bearing Pressure -------------------------------------------------------6.5 Allowable Eccentricities for Concrete Foundatio-------------------------------------------------------6.6 Rebar Check -------------------------------------------------------
ATTACHMENT (1)- Dynamic Analysis
ATTACHMENT (2)- Engineering Data
00
00
00
-
1.0 GENERAL
1.1 Scope
1.2 Definitions
Project :Company : SATORP(Saudi Aramco Total Refining and Petrochemical Company)Contractor :Location : Industrial Site of Jubail 2, The West Coast of Arabian Gulf, Saudi
2.0 REFERENCE CODES, STANDARD AND PROJECT DOCUMENTS
2.1 Industry Codes and Standards
ACI-318-02 Building Code Requirements for Reinforced ConcreteMinimum Design Loads for Buildings and Other Structures
2.2 Company References
JERES-M-001 Civil and Structural Design CriteriaJERES-Q-001 Criteria for Design and Construction of Concrete StructuresJERES-Q-005 Concrete FoundationsJERES-Q-007 Foundations and Supporting Structure for Heavy MachineryJERES-Q-010 Cement Based, Non-Shrink Grout for Structural and Equipment GroutingJERES-Q-011 Epoxy Grout for Machinery SupportJERMS-H-9106 Epoxy Coating of Steel Reinforcing Bars
2.3 Saudi Arabian Standard Organization
SASSO SSA 2 Steel Bars for the Reinfocement of ConcreteSASSO SSA 224 Steel Fabric for Reinforcement of Concrete
This calculation report is relevant to the design of C.A.BLOWER Foundation (551-B-1001/2001/3001/4001)
ASCE 7-05
-
2.4 Project Documents
SA-JER-PUAAA-SKEC-468002 Design Criteria for Civil and StructureSA-JER-PUAAA-SKEC-588001 Geotechnical Investigation ReportSA-JER-PUAAA-SKEC-468001 Geotechnical & Foundation Design Basis
2.5 Reference Document
Design of Structures and Foundations for Vibrating Machines by Suresh C. Arya
3.0 MATERIALS AND UNITS
3.1 Materials
3.1.1 Concrete
- Cement
1) Below Grade (up to 150 mm above grade)Type - V Portland cement (JERES-Q-001 and ASTM 150) orType - I Portland cement (JERES-Q-001 and ASTM 150) + Silica Fume 7%
2) Above Grade (from 150 mm above grade)Type - I Portland cement (JERES-Q-001 and ASTM 150)
- Specified Compressive Cylinder Strength at 28 Days
1) f'c = 35 Mpa for basins and water retaining structures2) f'c = 28 Mpa for foundations, walls and pavings
- Unit Weight for Reinforced Concrete
1) Wc = 24 kN/m
- Modulus of elasticity
1) Ec = (f'c = 28 Mpa)2) Ec = (f'c = 35 Mpa)
24800 Mpa27800 Mpa
-
3.1.2 Reinforcing Bar
1) Reinforcing steel bars shall conform to SASO SSA 2, hot-rolled, high tensile, deformed steel.2) Characteristic Strength (ACI 318M)
= 422 Mpa
3) Modulus of Elasticity- Es = 200,000 Mpa
3.1.3 Anchor Bolt
1) Threaded Anchor Bolts : ASTM A36/A36M or ASTM F1554, Gr. 36 - Headed Bolts : ASTM A307 Grade A - Washers : ASTM F436/F436M - Nuts : ASTM A563 Grade A, Heavy Hex or ASTM A 563M2) High Strength Anchor Bolts - Anchor Bolts : ASTM A193/A193M Gr. B7 or ASTM F1554, Gr. 105 - Washers : ASTM F436/F436M - Heavy Hex Nuts : ASTM A194/A194M or ASTM A563, DH3) Min. Anchor Bolt Diameter : 20 mm4) For Corrosion Allowance : Anchor Bolt Diameter + 3 mm.
3.1.4 Grout for Machinery Support
When type of grout is not specified by the equiment Manufacturer,cenmentitious grout shall be used for any of the following
1) Non-Shrink Grout for Structural and Equipment- Equipment with driver horsepower < 500 (373 kW)- RPM of Equipment < 3600 RPM- Total weight of Equipment < 2270 kg
2) Epoxy Grout for Machinery Support- Equipment with driver horsepower 500 (373 kW)- RPM of Equipment 3600 RPM- Total weight of Equipment 2270 kg
- fy
-
3.2 Units of Measurements
The Metric units shall be used :
- Force : kN- Length : meter- Temperature : Degree centigrade
4.0 PUMP FOUNDATION DESIGN ASSUMPTION
4.1 Foundation Grouping for Vibrating Machinery
4.1.1 Centrifugal Rotating Machinery
1) Horsepower 500 The foundatiom shall be designed for the expected dynamic forces using dynamic analysis procedures
2) Horsepwoer < 500 The foundation weight shall be 3 times the total machinery weight
4.2 General Design Requirements
4.2.1 Clean, simple outlines shall be used for foundations. Beams and columns shall be of a uniform rectangular shape. Block foundations should be rectangular.
4.2.2 The height of the machine support above grade shall be the minimum to accommodate suction and discharge piping arrangements.
4.2.3 The minimum thickness of the concrete foundations
- 0.60 + L / 30 (meters)
Where, L = Length of foundation parallel to the machine bearing axis in meters
ITEMS
551-B-1001/2001/3001/4001
UNIT FDN. TYPE MACHINETYPE RATING
(JERES-Q-007 Section 5.1.1)
POWER DYNAMIC ANALYSIS
1587 HP YESUNIT 551 Rigid Block Rotating 1167 kW
-
4.2.4 The width of the foundation
- B 1.5 Vertical distance from the base to the machine centerline
Where, B = Width of foundation in meters
4.2.5 For deformed bars
1) The reinforcement in each direction shall not be less than 0.0018 times the gross area perpendicular to the direction of reinforcement
2) Minimum tie size in pers shall be 12 mm
4.2.6 Allowable Eccentricities for Concrete Foundations with Horizontal Shaft Machinery
1) The horizontal perpendicular to the machine bearing axis, between of gravity of the machine foundation system and the centroid of the cosil contact area ( < 0.05 B)
2) The horizontal parallel to the machine bearing axis, between of gravity of the machine foundation system and the centroid of the cosil contact area ( < 0.05 L)
4.2.7 Allowable Soil Bearing Pressures
1) For High-tuned foundatio: Soil bearing pressures shall not exceed 50% of the allowable bearing pressure permitted for static loads
2) For Low-tuned foundatio: Soil bearing pressures shall not exceed 75% of the allowable bearing pressure permitted for static loads
Where,High-tuned System = A high-tuned system is a machine support/foundation system
in which the operating frequency (range) of the machinery is below all natural frequencies of the system
Low-tuned System = A low-tuned system is a machine support/foundation systemin which the operating frequenct (range) of the machinery is aboveall natural frequencies of the system
-
4.2.8 Permissible Frequency Ratios
To avoid the danger of excessive vibration, the ratio between the operating frequency of the machif, and each natural frequency of the machine foundation system, f(n) shall not lie in the range of 0.7 to 1.3.
4.2.9 Permissible Vibration
If Manufacturer's vibration criteria are not available, the maximum velocity of movement during steady-state normal operation shall be limited to 0.12 inch per second for centrifugal machi
-
5.0 BLOWER FOUNDATION (551-B-1001/2001/3001/4001)
5.1 General SketchCombined C.G
X direction
Y direction
C.G of Machine
[ unit : m ]
200
Z direction G.L
X direction [ unit : m ]
1.406
0.00
0
3.0003.000
P L A N
1.945
0.000
10.0
00
TOG EL.+100,
3.645
1.784
0.294
5.34
6
1.443
10.0
00
0.000
5.06
9
1.216
AX
IS O
F R
OC
KIN
G
0.00
0
3.550
S E C T I O N
1.850
0.200
1.000
0.500
-
5.2 The Soil and Foundation Parameters
Allowable Soil BeraingShear Modulus, GSoil Internal damping RatioPoisson's Ratio, Unit Weight (Soil)Unit Weight (Con'c)
5.3 Foundation Data
Height (h)Thickness of Grout
5.4 Equipment Data
=====
5.5 Machine Data
(1) For values for Equipment
R.P.M FRotor WeightUnbalanced Force
tonC.A.BLOWER - 2242
C.A.BLOWER - 3.670
C.A.BLOWER - 0.072
tonrpm
ton
MOTOR - 1490
m
m
0.040
17.000
m
kN/m
0.321
Pedestal Height (PH)
rpm
kN
mm
Weight of Motor (Wm)
1.200
0.025
m
25.506
0.500
tontonton6.000
m
304.110 kN
kNkN
58.860 kN
200.000
24.000
82579.233kN/m
Item No.Footing Width (FL)
551-B-1001/2001/3001/4001
m
kN/mkN/m
3.000
ton
Ground Level (G.L.)
Footing Length (FB)Footing Height (FH)Pedestal Width (PL)Pedestal Length (PB)
Weight of C.A.BLOWER (Wc) 127.53092.214
Total Weight (Wt) 31.000 ton
Weight of Base Plate (Wb)Weight of Silencer (Ws)
ton
10.000
3.000
0.200
1.700
m10.000
13.000
2.6009.400
-
(2) For dimensions of Equipment & Foundation
C.G from machines bottom to Machine centerC.G of Shaft from machines bottom (C.Gshaft)C.G from Pedestal Edge to Machine Center (X-direction) (Edx)C.G from Pedestal Edge to Machine Center (Y-direction) (Edy)
6.0 CHECK FOR BLOWER FOUNDATION DESIGN
6.1 The Mass Ratio of Blower Foundation
(1) Foundation Weight Pedestal (Wcp)Footing (Wcf)
= [(FL FB FH) + (PL PB PH)] Unit Weight (Con'c)= [(3.000 m 10.000 m 0.500 m) + (3.000 m 10.000 m 1.200 m)] 24.000= kN
(2) Machine Weight
= Weight of Blower + Weight of Motor + Weight of Base Plate + Weight of Silencer= 127.530 + 92.214 + 25.506 + 58.860= kN
(3) Mass Ratio
= / >= / >= >
6.2 The Minumum Thickness of Concrete Foundation
- Thickness (= FH + PH) 0.6 + FB / 30 (m)
0.933
OK!!
Wc
360.000 kN
OK!!
0.6 + FB / 30 (m)Length ( = FB)(m)
Thickness ( = FH + PH)(m)
1.700
3.0
864.000 kN
Item No.
551-B-1001/2001/3001/4001 10.000(m)
3.04.025
R
304.110
Wm
1.850
3.0
Wc
mm
m1.945 m
5.346
Wm304.110
1224.000
1224.000
1.216
-
6.3 The Width of Concrete Foundation
- FL 1.5 Vertical Distance from The Base to the Machine Centerline
6.4 Allowable Soil Bearing Pressure (Static)
[kN/m]
= 1,528.110 / 30.000= kN/m
Where,= [kN/m]= 0.750 200.000= kN/m= Allowable soil capacity for static case.= kN/m
= + [kN]= 1,224.000 + 304.110= kN
= 0.25 Wm (FH + PH + G.L[kN-m]= 0.250 304.110 (0.500 + 1.200 + 1.850)= kN-m
= FB FL [m]= 10.000 3.000= m
OK!!
OK!!
1.5 C.G
2.775
QItem No.
Q = 0.750 Qa(kN/m)
Q =Wt
Area
551-B-1001/2001/3001/4001 50.937
551-B-1001/2001/3001/4001
150.000
269.898
(kN/m)
Length ( = FL)(m)
Item No.(m)
A
30.000
3.000
150.000
1528.110
50.937
Wm
Qas
Mx
Qa 0.750
Wt
200.000Qas
Wc
(JERES-Q-007 Section 9.3)
Low-tuned Foundations
-
6.5 Allowable Eccentricities for Concrete Foundations
= + = kN
= [(304.110 1.216) + (864.000 1.500) + (360.000 1.500)] / 1,528.110 = mEccentricity(X-dir) = (1.500 - 1.443) 100 / 3.00 = < %
= [(304.110 5.346) + (864.000 5.000) + (360.000 5.000)] / 1,528.110 = mEccentricity(Y-dir) = (5.000 - 5.069) 100 / 10.0 = < %
= [(304.110 3.645) + (864.000 1.100) + (360.000 0.250)] / 1,528.110 = m
6.6 Rebar Check
a = @ 200
c = @ 200
b = @ 200
5.069
1.4431.884
OK!!5.000
Y'
Wt 1528.110Wc
X'
a (mm)cb Top (mm) Bottom (mm)Rebar Dia.
Wm
Z' 1.406
D20 D20 D12 1350.000
Use AS
5.000OK!!
Req'd AS = 0.0018 b (H / 2)
OK!!
1350.000 5024.000
0.689
Item No.
551-B-1001/2001/3001/4001
-
"Dynamic Analysis.xls"
Job Name: Subject:Job Number: Originator: TYP Checker:
1.0 Machine Data
Blower Blower =Motor Motor =
Unbalanced Force Blower = Motor =Moment by U.F Blower = Motor =
1.1 Centrifugal Force (Fo)
1) F0 = (Wr / g) e w = (Wr / g) e w= 64,750.000 / 981.0 0.00588 234.78 = 0.000 / 981.0 0.00721 234.780= N = N= kN = kN
Where,g = cm/sec = cm/secw = (RPM 2 / 60) = (RPM 2 / 60)
= 2,242 2 / 60 = 1,490 2 / 60= rad/sec = rad/sec
e = (12000 / RPM) 0.0025 (cm) = (12000 / RPM) 0.0 (cm)(Maximum) = (12000 / RPM) (mil) = (12000 / RPM) (mil)
= 1.000 (12000 / 2,242) = 1.000 (12000 / 1,490)= (mil) = (mil)= cm = cm
Weight of Rotor of Blower Weight of Rotor of MotorWr = 1.000 = 0.000
= ton = ton= kN = kN
Wc = Weight of C.A.BLOWER = 13.000 ton = kNWm = Weight of Motor = 9.400 ton = kNWb = Weight of Base Plate = 2.600 ton = kNWs = Weight of Silencer = 6.000 ton = kN
2) F0 = Factor W (rpm / 1000)1.5 = Factor W (rpm / 1000)1.5
= 0.001 600.408 (2242 / 1000)^1 = 0.001 0.000 (1490 / 1000)^1.5= kN = kN= ton = ton
R.P.M Rotor Weight
0.405 ton
0.600 ton0.000 ton
For Motor
0.205
0.000
For Motor
0.205
0.000
92.21425.506
0.000
For Blower
981
234.780
2.314
1490 rpm
For Blower
234.780
0.000 ton
DYNAMIC ANALYSISDesign of Structures and Foundations for Vibrating Machines
981
64.750
For Block Foundation (Centrifugal Machinery)
127.530
58.860
2.016
1.000 (mil)2.838
0.0000.000
0.00721
2242 rpm
21384.05421.384
0.00588
6.600
1.437 ton-m 0.000 ton-m
(Wc(rotor) + Ws) (Wm(rotor))
-
"Dynamic Analysis.xls"
Where,Factor = 0.001 for SI units W = Total mass of the rotating
= 0.1 for imperial units FD = Steady state dynamic force
3) F0 = kg = kg= ton = ton= kN = kN
Vertical Dynamic Force kNkNkN
Horizontal Dynamic Force kNkNkN
Rocking Dynamic moment [Verti. Force(blower)] (From Base to C.G) = FV(blower) (h + C.G.[3.970] (1.700 + 1.850)
kN-m[Verti. Force(motor)] (From Base to C.G) = FV(motor) (h + C.G.)[0.000] (1.700 + 1.850)
kN-m
1.2 Calculation of center of gravity of machine & fdn.
Wp = =Wm = =Wb = =Ww = =WE = = WE / g kN-sec/mWcp = = Wcp / g kN-sec/mWcb = = Wcb / g kN-sec/mWF = = WF / g kN-sec/m
W = = W / g kN-sec/m
Io = I (Machine) + I (Foundation)= We kM + [WF / 12 (ai + bi) + WF kFi]= [31.000 (1.700 + 1.945)] + [(88.073) / 12 (3.000 + 1.200)]
+ [(88.073) (0.600 + 0.500)] + [(36.697) / 12 (3.000 + 0.500)] + [(36.697) (0.250)]= kN-m
Fv(motor) =
Fh(blower) =Fh(motor) =
3.970
0.0003.970Fv(blower + motor) =
Mr(blower) =
= 88.073= 36.697
= 155.771
= 124.771
13.000 ton9.400 ton2.600 ton6.000 ton
3.970Apply for 3) F
For Blower For Motor
31.000 ton
124.771 ton
88.073 ton
14.094
0.4053.970
360.000 kN
58.860 kN
Fh(blower + motor) =
92.214 kN
Mr(motor) =
0.000
Fv(blower) =
0.0003.970
36.697 ton
404.689
1224.000 kN
25.506 kN
1528.110 kN
864.000 kN
127.530 kN
304.110 kN
155.771 ton
625.640
= 31.000
-
"Dynamic Analysis.xls"
Where,WE = Total Machine WeightWF = Foundation WeightW = Total Static Load (Total Machine Weight + Foundation Weight)g = cm/secIo = SUM [mi (Ai + Bi) / 12 + miKi]
1.3 Coefficients Bv, Bh, and Br for Rectangular Footings
L = 3.000 mB = 10.000 m
Coefficents v, h and r for rectangular footings
2.0 Vertical Excitation Analysis
2.1 Spring Constant
(1) Equivalent radius (r0v) for Rectangular Foundation
rov = (FB FL / )
= m
(2) Embedment factor for Spring ConstantEffective Embedment height
v = 1 + 0.6 (1 - ) (h / rov) = Height(h) - Ground Level(G.L.)= 1 + 0.6 (1 - 0.321) (1.500 / 3.090) = 1.700 - 0.200= = 1.500
(3) Spring Constant Coefficient
v =
L / B
0.300Roking (r)0.300
2.150
981.000
1.198
3.090
2.150
=10.000 3.000
Horizontal (h) 1.0170.408
0.300Coefficients
Vertical (v)
AXIS
OF
RO
CK
ING
L
B
B
L
L/B
-
"Dynamic Analysis.xls"
(4) Equivalent Spring Constant for Rectangular Foundation
Kv = G / (1 - ) v FB FL v
= kN/m
2.2 Damping Ratio
(1) Effect of Depth of Embedment on Damping Ratio
v = [1 + 1.9 (1 - ) h / rov] / v= [1 + 1.9 (1 - 0.321) 1.500 / 3.090] / 1.198=
(2) Mass Ratio
Bv = (1 - ) / 4 W / ( rov)
=
(3) Effective Damping Coefficient
This is not available for Vertical Mode
(4) Geometrical Damping Ratio
Dv = 0.425 / Bv v= 0.425 / 0.517 1.486=
(5) Internal Damping
Dvi =
(6) Total Damping Ratio
Dvt ===
155.771
Consider the Internal Damping
1 - 0.321=
Dv + Dvi
(1 - 0.321)
0.040
=
1715667.000
1.486
1.733 3.090
10.000 3.000 1.198
0.918
82579.2332.150
0.878 + 0.040
0.878
40.517
-
"Dynamic Analysis.xls"
2.3 Frequency Check
(1) Natural Frequency
Fnv = 60 / (2 ) ( Kv / m)= 60 / (2 ) (1,715,667.000 / 155.771)= rpm
(2) Resonance Frequency (rpm)
Frv = Fnv [1 - (2 Dvt)]= 1,002.178 [1 - ( 2 0.918)]
2 Dvt = 2 0.918= 1.685 > 1.00
(3) Frequency Ratio (JERES-Q-007, Section 10.1)When f / f(n) < 0.7, f / f(n) > 1.3, O.K!!!
= =
(4) Magnification Factor
For BlowerMv(blower) = 1 / (1 - rv(blower)) + (2 Dvt rv(blower))
= 1 / (1 - 2.237) + (2 0.918 2.237) == < 1.500
For MotorMv(motor) = 1 / (1 - rv(motor)) + (2 Dvt rv(motor))
= 1 / (1 - 1.487) + (2 0.918 1.487) == < 1.500
For Blower For Motor
rv(motor) =
=
0.3350.335 OK!!!
fv(motor)
2242.000Fnv
1490.000
0.174
1.487 OK!!!
RESONANCE NOT POSSIBLE!!! (There is no need to analysis Vibration)
=rv(blower)
0.174
=1002.178
fv(blower)
1002.1782.237
Not Apply
1002.178
OK!!!
Fnv
OK!!!
-
"Dynamic Analysis.xls"
(5) Transmissibility Factor
For BlowerTv(blower) = Mv(blower) 1 + (2 Dvt rv)
= 0.174 1+ (2 0.918 2.237)=
For MotorTv(motor) = Mv(motor) 1 + (2 Dvt rv)
= 0.335 1+ (2 0.918 1.487)=
(6) Vibration Amplitude
For Blower(For the normal operating speed - 2242 rpm) (For the normal operating speed - 1490 rpm)V(blower) = Mv(blower) Fv(blower) / Kv Vrocking(blower)
= R(blower) (FL / 2) = 0.0000005 (3.000 / 2)
= m = mFor Motor(For the normal operating speed - 2242 rpm) (For the normal operating speed - 1490 rpm)V(motor) = Mv(motor) Fv(motor) / Kv Vrocking(motor)
= R(motor) (FL / 2) = 0.0000000 (3.000 / 2)
= m = m
Total Vertical AmplitudeVtotal = V(blower) + Vrocking(blower) + V(motor) + Vrocking(motor)
= m
=
7.714E-07
0.000E+00
0.335 0.000
0.736
1715667.000 4.026E-07
=
1715667.000 0.000E+00
1.174E-06
0.974
0.174 3.970
-
"Dynamic Analysis.xls"
3.0 Horizontal Excitation Analysis
3.1 Spring Constant
(1) Equivalent radius (r0h) for Rectangular Foundation
roh = (FB FL / )
= m
(2) Emebedment factor for Spring ConstantEffective Embedment height
h = 1 + 0.55 (2 - ) (h / roh) = Height(h) - Ground Level(G.L.)= 1 + 0.55 (2 - 0.321) (1.500 / 3.090) = 1.700 - 0.200= = 1.500
(3) Spring Constant Coefficient
h =
(4) Equiavelent Spring Constant for Rectangular Foundation
Kh = 2 (1 + ) G h FB FL h= 2 (1 + 0.321) 82,579.233 1.017 10.000 3.000 1.448= kN/m
3.2 Damping Ratio
(1) Effect of Depth of Embedment on Damping Ratio
h = [1 + 1.9 (2 - ) h / roh] / h= [ 1 + 1.9 (2 - 0.321) 1.500 / 3.090] / 1.448=
(2) Mass Raito
Bh = (7 - 8) / [32 (1 - )] W / ( roh)
=
=
1760211.961
0.621
2.118
=
1.017
1.448
3.090
10.000 3.000
32 (1 - 0.321)(7 - 8 0.321)
1.733 3.090155.771
AX
ISO
FR
OC
KIN
G
L
B
-
"Dynamic Analysis.xls"
(3) Effective Damping Coefficient
This is not avilable for Horizontal Mode
(4) Geometrical Damping Ratio
Dh = 0.288 / Bh h= 0.288 / 0.621 2.118=
(5) Internal Damping
Dhi =
(6) Total Damping Ratio
Dht ===
3.3 Frequency Check
(1) Natural Frequency
Fnh = 60 / (2 ) (Kh / m)= 60 / (2 ) 1,760,211.961 / 155.771= rpm
(2) Resonance Frequency (rpm)
Frh = Fnh [1 - (2 Dht)]= 1,015.000 [1 - (2 0.814)]
2 Dht = 2 0.814= 1.325 > 1.0
0.774
RESONANCE NOT POSSIBLE!!! (There is no need to analysis Vibration)
0.814
0.040 Consider the Internal Damping
Dh + Dhi0.774 + 0.040
1015.000
Not Apply
-
"Dynamic Analysis.xls"
(3) Frequency Ratio (JERES-Q-007, Section 10.1)When f / f(n) < 0.7, f / f(n) > 1.3, O.K!!!
= =
(4) Magnification Factor
For BlowerMh(blower) = 1 / (1 - rh(blower)) + (2 Dht rh(blower))
= 1 / (1 - 2.209) + (2 0.814 2.209) == < 1.50
For MotorMh(motor) = 1 / (1 - rh(motor)) + (2 Dht rh(motor))
= 1 / (1 - 1.468) + (2 1.468) == < 1.50
(5) Transmissibility Factor
For BlowerTh(blower) = Mh(blower) 1 + (2 Dht rh(blower))
= 0.189 1 + ( 2 0.814 2.209)=
For MotorTh(motor) = Mh(motor) 1 + (2 Dht rh(motor))
= 0.377 1 + ( 2 0.814 1.468)=
0.3770.377
OK!!!
0.977
For Motor
rh(blower)
1490.000
rh(motor) =fh(motor)
Fnh
fh(blower)Fnh
2242.0001015.000
2.209
=1015.000
1.468 OK!!!
=
0.189
OK!!!
=
0.189 OK!!!
For Blower
0.705
-
"Dynamic Analysis.xls"
(6) Vibration Amplitude
For Blower(For the normal operating speed - 2242 rpm) (For the normal operating speed - 1490 rpm)H(blower) = Mh(blower) Fh(blower) / Kh Hrocking(blower)
= R(blower) (h + C.G.)= 0.0000005 (1.700 + 1.850)
= m = mFor Motor(For the normal operating speed - 2242 rpm) (For the normal operating speed - 1490 rpm)H(motor) = Mh(motor) Fh(motor) / Kh Hrocking(motor)
= R(motor) (h + C.G.)= 0.0000000 (1.700 + 1.850)
= m = m
Total Horizontal AmplitudeHtotal = H(blower) + Hrocking(blower) + H(motor) + Hrocking(motor)
= m
4.0 Rocking Excitation Analysis
4.1 Spring Constant
(1) Equivalent (r0r) for Rectangular Foundation
ror = [(FB FL) / (3 )]^()^()
= m
(2) Embedment factor for Spring Constant
r = 1 + 1.2 (1 - ) (h / ror) + 0.2 (2 - ) (h / ror)= 1 + 1.2 (1 - 0.321) (1.500 / 2.314) + 0.2 (2 - 0.321) (1.500 / 2.314)=
Effective Embedment height= Height(h) - Ground Level(G.L.)= 1.700 - 0.200= 1.500
=0.377 0.0001760211.961
=[ (10.000 3.000) ]
1.826E-06
0.000E+00
2.252E-06
0.000E+00
0.189 3.970=
1760211.961
3 2.314
4.263E-07
1.620
AXIS
OF
RO
CK
ING
L
B
-
"Dynamic Analysis.xls"
(3) Spring Constant Coefficient
r =
(4) Equivalent Spring Constant for Rectangular Foundation
Kr = G / (1 - ) r FB FL r
= kN/m
4.2 Damping Ratio
(1) Effect of Depth of Embedment on Damping Ratio
=
(2) Mass Ratio
Br = 3 (1 - ) / 8 Io / ( ror5)
=
(3) Effective Damping Coefficient
nr =
(4) Geometrical Damping Ratio
Dr = 0.15 r / [(1 + nr Br) (nr Br) ]
=
(5) Internal Damping
Dri =
7234608.000
r1 + 0.7 (1 - 0.321) (1.500 / 2.314) + 0.6 (2 - 0.321) (1.500 / 2.314)
1.620
1.387
1.244
=
=
0.052
8=
(1 - 0.321) 0.408 10.000 3.000 1.620
3 (1 - 0.321) 625.640
1.251
0.040
82579.233
0.408
r
1.733 66.277
=
(1 + 1.251 1.387) (1.251 1.387)
1 + 0.7 (1 - ) (h / ror) + 0.6 (2 - ) (h / ror)
0.15 1.244
=
-
"Dynamic Analysis.xls"
(6) Total Damping Ratio
Drt ===
4.3 Frequency Check
(1) Natural Frequency
Fnr = 60 / (2 ) (Kr / I0)= 60 / (2 ) [7,234,608.000 / 625.640]= rpm
(2) Resonance Frequency
Frr = Fnr [1 - (2 Drt)]= 1,027.000 [1 - (2 0.092)]= rpm
2 Drt = 2 0.092= 0.017 < 1.00
(3) Frequency Ratio (JERES-Q-007, Section 10.1)When f / f(n) < 0.7, f / f(n) > 1.3, O.K!!!
= =
1490.000
fr(motor)
OK!!!
For Blower
Fnr
For Motor
rr(motor) =
=1027.000
2.183
=1027.000
1.451
RESONANCE COULD BE POSSIBLE!!! (It is necessary to analysis Vibration)
OK!!!
0.092
1027.000
1018.270
0.052 + 0.040Dr + Dri
rr(blower) =fr(blower)
Fnr2242.000
-
"Dynamic Analysis.xls"
(4) Magnification Factor
For BlowerMr(blower) = 1 / (1 - rr(blower)) + (2 Drt rr(blower))
= 1 / (1 - 2.183) + (2 0.092 2.183) == < 1.500
For MotorMr(motor) = 1 / (1 - rr(motor)) + (2 Drt rr(motor))
= 1 / (1 - 1.451) + (2 0.092 1.451) == < 1.500
(5) Transmissibility Factor
For BlowerTr(blower) = Mr(blower) 1 + (2 Drt rr(blower))
= 0.264 1 + (2 0.092 2.183)=
For MotorTr(motor) = Mr(motor) 1 + (2 Drt rr(motor))
= 0.880 1 + (2 0.092 1.451)=
(6) Vibration Amplitude
For Blower Moment Arm = (h + C.G.)R(blower) = Mr(blower) Fr(blower) / Kr = (1.700 + 1.850)
= 3.550
= radFor Motor
R(motor) = Mr(motor) Fr(motor) / Kr
= rad
OK!!!0.880
0.911
=0.880 (0.000 3.550)
7234608.000
7234608.000
0.880
0.264 (3.970 3.550)
0.285
0.2640.264 OK!!!
0.000E+00
5.143E-07
=
-
"Dynamic Analysis.xls"
5.0 Amplitude Check
5.1 Total Amplitude
(1) Vertical AmplitudeVtotal = Vertical Vibration Amplitude + Rocking Vibration Amplitude (FL / 2)
= m= cm= in
(2) Horizontal AmplitudeHtotal = Horizontal Vibration Amplitude + Rocking Vibration Amplitude (h + C.G.)
= m= cm= in
(3) Maximum Velocity
Where,Velocity = in/sec
= m/sec"Machine" is the imposed frequency of the rotating equipment.
RPM = (For Pump)= (For Motor)
= cm = cm= in = in
(3) Psta+dyn
Psta+dyn 52.561
Qall Pdyn OK!!!
1.500 2.922
3.000 10.000 3.000 10.000
150.000
1528.110
5.086 5.299
Qall
0.750 Qa
49.893
=
=Wt
51.981
Area
Ph(total) (C.Gshaft + h) 6
B L
Area
Pv(total)
1.500
150.000
Pr 6B L
1.500 2.801 (3.550) 3.000
10.000 3.000
1.500 4.010 610.000 3.000
=Wt
Pv(total)Area Area
3.000 10.000
Ptr 6
B L
1.500 14.782 6
10.000 3.000
=1528.110
1.500 2.922
3.000 10.000
52.561 49.3135.358 5.027