Exam Details

Subject machine dynamics
Paper
Exam / Course b.e
Department
Organization Gujarat Technological University
Position
Exam Date May, 2017
City, State gujarat, ahmedabad


Question Paper

1
Seat No.: Enrolment
GUJARAT TECHNOLOGICAL UNIVERSITY
BE SEMESTER-V EXAMINATION SUMMER 2017
Subject Code: 2152509 Date: 03/05/2017
Subject Name: Machine Dynamics
Time: 02:30 PM to 05:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
MARKS
Q.1
Short Questions
14
1 The frequency of damped vibrations with viscous damping is the frequency of undamped vibrations.
More than Less than
Same as None of above
2
In order to balance the reciprocating masses,
Primary forces and couples must be balanced
Secondary forces and couples must be balanced
Both and
None of these
3
The natural frequency of free transverse vibrations due to a point load acting over a simply supported shaft is equal to (where δ Static deflection of a simply supported shaft due to the point load)


4
When the sleeve of a Porter governor moves upwards, the governor speed
Increases Decreases
Remains unaffected
First increases and then decreases
5 A rotor supported at A and B carries two masses as shown in the below figure. The rotor is
Dynamically balanced Statically balanced
Not balanced Both and
2
6 A body is said to be under forced vibrations, when
There is a reduction in amplitude after every cycle of vibration
No external force acts on a body, after giving it an initial
displacement
A body vibrates under the influence of external force
None of the above
7 The natural frequency of free longitudinal vibrations is equal to
(where m Mass of the body, s Stiffness of the body, and δ
Static deflection of the body)

any one of these
8 In under damped vibrating system, if x1 and x2 are the successive
values of the amplitude on the same side of the mean position, then
the logarithmic decrement is equal to
1 2 x x 1 2 logx x
1 2 loge xx
1 2
log) x
9 When the speed of the engine fluctuates continuously above and
below the mean speed, the governor is said to be
stable unstable
isochronous hunt
10 The balancing of a rigid rotor can be achieved by appropriately
placing balancing masses in
A single plane Two planes
Three planes Four planes
11 A governor is said to be stable, if the
radius of rotation of balls increases as the equilibrium speed
decreases
radius of rotation of balls decreases as the equilibrium speed
decreases
radius of rotation of balls increases as the equilibrium speed
increases
radius of rotation of balls decreases as the equilibrium speed
increases
12 In the two rotor system as shown in the below figure (I1 a node
of vibration is situated
between I1, and I2 but nearer I1
between I1, and I2 but nearer to I2
exactly in the middle of the shaft
nearer to I1 but outside
13 If the damping factor for a vibrating system is unity, then the system
will be
over damped under damped
critically damped without vibrations
3
14
A Porter governor is a
Pendulum type governor Dead weight governor
Spring loaded governor Inertia governor
Q.2

State and explain D'Alembert's principle.
03

Explain Dynamically equivalent system.
04

The piston diameter of an internal combustion engine is 125 mm and the stroke is 220 mm. the connecting rod is 4.5 times the crank length and has a mass of 50 kg. The mass of the reciprocating part is 30 kg. The centre of mass of the connecting rod is 170 mm from the crank pin centre and the radius of gyration about an axis through the centre of mass is 148 mm. the engine runs at 320 rpm. Find the magnitude and direction of inertia force and corresponding torque on the crankshaft when the angle turned by the crank is 1400 from the IDC. Use Analytical Method.
07
OR

Explain the method of balancing of different masses revolving in the same plane.
07
Q.3

Explain the effects of partial balancing on reciprocating parts of two cylinder locomotives.
03

Determine the unbalanced force and couples in case of following in-line engines:
I Two-cylinder engine
II Four cylinder four-stroke engine
III Six cylinder four-stroke engine
04

For two cylinder locomotive, if Rotating mass per cylinder is 280 kg, Reciprocating mass per cylinder is 300 kg, distance between wheels is 1400 mm, distance between cylinder centres is 600 mm, distance of treads of driving wheels is 1800 mm, crank radius is 300 mm, Radius of centre of balance mass is 620 mm, speed of loco is 50 km/hr, angle between cylinder crank is 900, dead load on each wheel is 3.5 tonne, find balancing mass required in the plane of driving wheels if whole of the revolving and two third of the reciprocating mass are to be balanced, swaying couple, variation in the tractive force, max. and min. pressure on the rails, max. speed of loco without lifting the wheels from the rail.
07
OR
Q.3

Define damping coefficient, critical damping coefficient damping factor
03

Describe Dunkerley's method to find the natural frequency of shaft carrying several loads.
04

The reciprocating mass per cylinder in a 600 V-twin engine is 1.5 kg. The stroke and connecting rod length are 100 mm and 250 mm respectively. If the engine runs at 2500 r.p.m., determine the maximum and minimum values of the primary forces. Also find out the resultant secondary force
07
Q.4

What are the basic elements of a vibratory system? What is the degree of freedom?
03

What is the logarithmic decrement? Derive the relation for the same.
04

The mass of a single degree damped vibrating system is 7.5 kg and makes 24 free oscillations in 14 seconds when disturbed from its equilibrium position. The amplitude of vibration reduces to 0.25 of its initial value after five oscillations. Determine: 1. Stiffness of the spring. 2. Damping factor, i.e. the ratio of the system damping to critical damping.
07
OR
Q.4

Define the following terms:
Resonance, Dynamic Magnification Factor, Whirling speed of shaft.
03
4
A link AB in a mechanism is a rigid bar of uniform section 0.3 m long. It
has a mass of 10 kg, and a concentrated mass of 7 kg is attached at B. The
link is hinged at A and is supported in a horizontal position by a spring
attached at the midpoint of the bar. The stiffness of the spring is 2 kN/m.
Find the frequency of small free oscillations of the system. The system is
as shown below.
04
A structure is modeled by the three degree system shown. Only
translational motion in a vertical direction can occur.
Show that the influence coefficients
are
11 22 33
21 32 32
1
2
1
4
k
k




and proceed to find the flexibility
matrix. Hence obtain the lowest
natural frequency of the system and
the corresponding mode shape.
07
Q.5 How does a porter governor differ from that of a watt governor? 03
Derive expressions for 'effort' and of a porter governor. 04
A gramophone is driven by a Pickering governor. The mass of each disc
attached to the centre of a leaf spring is 20 g. The each spring is 5 mm wide
and 0.125 mm thick. The effective length of each spring is 40 mm. The
distance from the spindle axis to the centre of gravity of the mass when the
governor is at rest, is 10 mm. Find the speed of the turntable when the
sleeve has risen 0.8 mm and the ratio of the governor speed to the turntable
speed is 10.5. Take E 210 kN/mm2
07
OR
Q.5 Draw the neat sketch of Hartnell Governor. 03
Derive the expression for the height of a Watt governor with usual
notations.
04
The arms of Hartnell governor are of equal length. When sleeve is in
the mid position, the masses rotate in a circle with a diameter of 150
mm. the equilibrium speed for this position is 360 rpm. Max.
variation in the speed when friction considered is to be 6 of the
mid position speed for max. sleeve movement of 30 mm. The sleeve
mass is 5 kg and friction at sleeve is 35 N.
Assume that the power of governor is sufficient to overcome the
friction by change of speed on each side of the mid position, find
Mass of each rotating ball, spring stiffness, initial
compression of the spring.
07



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  • manufacturing and assembly drawing
  • manufacturing of plastic materials- 1
  • manufacturing of plastics material-2
  • manufacturing process-1
  • manufacturing processes -ii
  • manufacturing technology - i
  • manufacturing technology - ii
  • marketing management
  • mass transfer operation - i
  • mass transfer operation - ii
  • mass transfer operation – i
  • mass transfer operation –ii
  • material & energy balance calculations
  • material degradation and prevention
  • material handling systems
  • material science
  • material science and metallurgy
  • material science and technology
  • material selection and failure analysis
  • materials & manufacture of food equipment
  • materials and logistic management
  • materials characterization
  • materials management
  • mathematics-iv
  • maths-ii
  • measurement & instruments
  • mechanical behaviour and testing of materials
  • mechanical measurement & metrology
  • mechanical operation
  • mechanical operations in chemical process industries
  • mechanics of composite materials
  • mechanics of deformable bodies
  • mechanics of solids
  • mechatronics
  • medical imaging techniques
  • medical imaging technology
  • medical optics
  • medicinal chemistry & physio-pharmacology
  • medicinal chemistry-i
  • medicinal chemistry-ii & technology of sterile products
  • mems and nanotechnology(departmental elective - iii)
  • metal cutting & advanced manufacturing processes
  • metal forming analysis(department elective - i)
  • metal forming processes
  • metal forming technology
  • metal joining processes
  • metal joining technology
  • metal working processes
  • metallurgical thermodynamics
  • metallurgy for non-metallurgists
  • metrology and measurement
  • micro processors & micro controllers
  • microbiology & formulation technology of liquids & topicals
  • microcontroller
  • microcontroller & interfacing
  • microcontroller and interfacing
  • microcontroller and interfacing (ec)
  • microcontroller for power electronics
  • microcontrollers and embedded systems
  • microcontrollers for power electronics
  • microelectronics and vlsi
  • microprocessor & its interfacing
  • microprocessor and interfacing
  • microprocessor and microcontroller
  • microwave engineering
  • milk & milk products technology
  • mine & mineral economics
  • mine hazards
  • mine legislation
  • mine planning
  • mine plannningsurface coating technology (department elective - i)
  • mine safety engg.
  • mine safety engineering
  • mine surface environment
  • mine ventilation
  • mineral processing
  • mining & processing of dimensional stone
  • mining machinery - ii
  • mining machinery ii
  • mining machinery-i
  • mobile computing and wireless communication
  • modelling & simulation of biological systems
  • modelling & simulation of physiological systems
  • modelling, simulation and operations research
  • modern control systems
  • modern control systems(departmental elective - ii)
  • modern manufacturing practices
  • modern spinning technology
  • modern weaving technolgy
  • modern yarn production
  • modern yarn production technologies
  • mold engineering
  • mold manufacturing technology(departmental elective - iii)
  • molecular biology and genetics
  • motion control
  • mould manufacturing technology
  • multi component distillation
  • multi component distillation(department elective - iii)
  • municipal and hazardous solid waste management
  • municipal and industrial solid waste management
  • municipal engineering
  • municipal waste & sewage management
  • mutlimedia and animation(departmental elective - iii)
  • nano ceramic and applications
  • nano technology and advanced application of plastics
  • nano technology(department elective - ii)
  • nanolithography
  • nanomagnetism and nanofluids
  • nanopolymers and nano-composites
  • nanoscience technology and pharmaceutical packaging technology(department elective – x)
  • nanotechnology and medicine
  • nanotechnology for advanced drug delivery systems
  • nanotechnology in healthcare
  • natural rubber science & technology
  • new functional dyes & recent trends in dyes technology
  • new separation techniques
  • newer waste water treatment systems
  • noise, vibration & harshness and safety
  • non - ferrous extractive metallurgy
  • non destructive testing
  • non-conventional energy sources
  • numerical and statistical methods for civil engineering
  • numerical methods
  • numerical techniques & statistical methods
  • object oriented analysis design and uml
  • object oriented and programming with c++
  • object oriented concepts and programming
  • object oriented programming in c++
  • object oriented programming with c++
  • object oriented programming with java
  • occupational health and safety
  • oil hydraulics & pneumatics(department elective - i)
  • operating system
  • operating system design
  • operation & maintenance of aircraft
  • operation research
  • operations planning & control
  • optical communication
  • optimization methods
  • optimization(department elective ii)
  • organic chemistry
  • organic chemistry and unit processes
  • organic chemistry for technologists
  • organic chemistry for technologists-i
  • organic chemistry for technologists-ii
  • parallel processing
  • petroleum refining & petrochemicals
  • pharmaceutical chemistry
  • photonics
  • physical & inorganic chemistry
  • physical and inorganic chemistry
  • physical ceramics
  • physical chemistry
  • physical metallurgy - i
  • physical metallurgy - ii
  • physical testing
  • physical testing-i
  • physical testing-ii
  • physico- chemical treatment technologies
  • physico-chemical processes
  • physics
  • physics of nanomaterials
  • physiological measurement techniques
  • physiological system modelling
  • plant design & project engineering
  • plastic charaterization techniques
  • plastic deformation of metals
  • plastic extrusion technology
  • plastic industrial hydraulics and pneumatics
  • plastic manufacturing technology
  • plastic process instrumentation and process control
  • plastic processing & machinery
  • plastic structure, property & relationship
  • plastics manufacturing technology
  • plastics mold & die design ii
  • plastics packaging technology
  • plastics recycling & waste treatment
  • pollution control & safety management
  • pollution control, safety & health management
  • polymer & rubber material-ii
  • polymer & rubber materials-i
  • polymer chemistry (elective-i)
  • polymer reaction engineering and rheology
  • powder metallurgy
  • power electronic circuits – ii
  • power electronic circuits-i
  • power electronics
  • power electronics - i
  • power electronics - ii
  • power electronics & control engineering
  • power electronics – i
  • power electronics – ii
  • power electronics and industrial drives
  • power electronics applications
  • power electronics applications in power system
  • power electronics design
  • power electronics devices & components
  • power electronics devices and circuits
  • power electronics systems modelling
  • power plant engineering
  • power processing circuits - i
  • power processing circuits - ii
  • power quality and management(departmental elective - ii)
  • power quality and management(departmental elective - iii)
  • power system analysis
  • power system analysis and simulation
  • power system operation and control
  • power system planning and design
  • power system practice and design
  • power system protection
  • principles of extractive metallurgy
  • principles of food engineering
  • principles of materials science and physical metallurgy
  • principles of power electronics
  • principles of process engineering-i
  • principles of process engineering-iii
  • principles of textile process
  • principles of textile processes
  • probability and introduction to statistics
  • process & quality control in spinning
  • process & quality control in weaving
  • process calculation
  • process calculations in textile wet processing
  • process control
  • process control systems
  • process dynamics and control
  • process equipment design -i
  • process equipment design -ii
  • process equipment design-i
  • process equipment design-ii
  • process heat transfer
  • process modeling, simulation & optimization
  • process simulation & optimization
  • process technology of drugs & intermediates(department elective - vii)
  • product design & development
  • product design and value engineering(department elective ii)
  • product design concept: structures & additives
  • product development & value engineering
  • production & applications of colorants & auxiliaries
  • production and operations management
  • production optimization techniques
  • production planning & maintenance
  • production technology
  • productivity engineering
  • productivity improvement methods
  • professional practice & valuation
  • professional practices & valuation
  • programmable automation controller
  • programmable logic controller
  • programmable logic controller for power electronics(departmental elective iii)
  • programmable logic controllers
  • programming for problem solving
  • programming methodology using c++
  • project & plant engineering
  • project engineering and management
  • project management
  • python programming(departmental elective - iii)
  • quality and reliability engineering
  • quality assurance & reliability
  • quality assurance and reliability
  • quality control in wet processing (departmental elective - iii )
  • quality engineering & management
  • quality engineering(department elective iii)
  • quality management & reliability engineering
  • quantitative techniques in management
  • radar & navigational aids
  • radar & navigational aids(departmental elective - ii)
  • railway , bridge & tunnel engineering
  • railway, bridge & tunnel engineering
  • rapid prototyping(department elective ii)
  • recent advances in manufacturing
  • recycling and packaging of polymer and rubber(department elective – x)
  • refrigeration and air-conditioning
  • regulatory standards for medical devices
  • rehabiliation engineering
  • rehabilitation engineering
  • renewable energy
  • renewable energy engineering
  • renewable energy sources
  • repairs & rehabilitation of concrete structures(departmental elective - iii)
  • repairs & rehabilitation of structures
  • resort designing, development & management
  • resource optimization techniques
  • rheology of rubber
  • robotics programming and applications
  • robotics(department elective iii)
  • rock fragmentation
  • rock mechanics
  • rock slope engineering
  • rocket & missile configurations design
  • rocket & missile technology
  • room division management-ii
  • rooms division management-i
  • rubber adhesion & adhesion science
  • rubber chemistry & natural polymers
  • rubber chemistry & natural polymers( department elective-ii)
  • rubber compound & product testing
  • rubber compounding materials
  • rubber engineering
  • rubber equipment design-i
  • rubber euipment design-ii
  • rubber plant & process engineering
  • rubber product & process computer aided design
  • rubber products manufacturing
  • rubber recycling & waste management
  • rubber technology
  • safety & hygiene in chemical industries
  • satellite commmunication(departmental elective - iii)
  • satellite communication
  • satellite communication & networking
  • satellite communication(departmental elective - ii)
  • selection of materials and failure analysis
  • sensor networks & instrumentation
  • service oriented computing (departmental elective - ii)
  • signal & systems
  • soft computing
  • soft computing in control(departmental elective - iii)
  • software engineering
  • software testing and quality
  • soil mechanics
  • solid & hazardous wastes - characterization & treatmentmedical optics (department elective - ii)
  • solid-fluid operations(department elective - iii)
  • space dynamics
  • special purpose vehicles
  • specialty pigments & recent development in pigment technology(department elective - vii)
  • spintronics
  • statistical methods and quality control
  • statistical quality control & textile costing
  • steam and gas turbines
  • steel making
  • stoichiometry
  • strength of materials
  • structural analysis - iii
  • structural analysis ii
  • structural analysis-1
  • structural analysis-2
  • structural analysis-i
  • structural design ii
  • structural design-i
  • sub-surface environment
  • supply chain management(department elective - ii)
  • surface coating technology
  • surface mine production
  • surface ornamentation & fashion art
  • surface ornamentation & fashion art(departmental elective iii)
  • surveying
  • sustainable development & green chemistry (department elective - iii)
  • switch gear & fault analysis
  • switch gear & protection
  • switch gear and protection
  • switchgear
  • synthesis of nanomaterials-i
  • synthesis of nanomaterials-ii
  • synthetic rubbers
  • system programming
  • technical textile-i
  • technical textile-ii
  • technical textiles ii
  • technological advances in textile processing
  • technology of denim manufacturing(departmental elective iii)
  • technology of dyeing
  • technology of dyeing - i
  • technology of dyeing - ii
  • technology of dyeing - iii
  • technology of dyeing -i
  • technology of finishing - ii
  • technology of grains
  • technology of intermediate & colorants
  • technology of pigments
  • technology of solid dosage forms & medicinal natural products
  • telecommunication engineering
  • telecommunication switching and applications
  • telecommunication switching systems and networks
  • testing and commissioning of electrical equipments
  • testing and identification of plastic materials
  • testing and installation of electrical equipments and systems
  • testing and verification
  • testing of metals and alloys
  • textile & metal reinforcement of elastomers
  • textile design & colour
  • textile fibers
  • textile fibres
  • textile manufacturing - i
  • textile manufacturing - ii
  • textile manufacturing processes
  • textile processing - i
  • textile processing-ii
  • theory of computation
  • theory of electromagnetics
  • theory of heat transfer
  • theory of machines
  • theory of vibration
  • therapeutic instrumentation
  • therapeutic techniques & instrumentation
  • thermal engineering
  • thermodynamics
  • thermodynamics and thermal engineering
  • thermodynamics of elastomers & polymers
  • thin film technology
  • tool design
  • tool engineering
  • total quality management
  • tourism product, design & development
  • transducers
  • transport management & laws
  • transport management and laws
  • transport phenomena in materials processing
  • treatment process design and drawing
  • tribology(department elective iii)
  • two & three wheeler technology
  • tyre & tube technology
  • underground coal mining
  • underground metal mining
  • unit operations-i
  • unit processes in organic synthesis
  • urban transportation system
  • utilization of electrical energy and traction
  • vehicle dynamics
  • vehicle maintenance & garage practice
  • vehicle maintenance and garage practice
  • vehicle testing &homologation
  • vibration and noise control
  • viscoelasticity of elastomers
  • visual basic application & programming
  • vlsi design
  • vlsi technologies
  • vlsi technology & design
  • vlsi technology and design
  • vulcanization
  • water & waste water engineering
  • water pollution & control
  • weaving - iii
  • weaving technology-i
  • weaving technology-ii
  • weaving technology-iii
  • weaving-i
  • weaving-ii
  • web application development
  • web data management
  • web data management(departmental elective - iii)
  • web technology
  • web technology and programming
  • welding technology
  • wireless communication
  • wireless communication & mobile programming
  • work system design
  • yarn manufacturing - ii
  • yarn manufacturing - iii
  • yarn manufacturing-i
  • yarn manufacturing-ii
  • yarn manufacturing-iii
  • yarn preparation & weaving
  • yarn structure & fabric geometry