Mechanical Design Methodology and Morphology Principles

Design Methodology

Definition:
Design methodology is a systematic and structured approach used by engineers to convert a need or problem into a working and efficient mechanical system. It involves a sequence of steps such as identifying the problem, conceptualizing ideas, analyzing alternatives, and developing the final design.

Explanation:
In mechanical engineering, design methodology helps in achieving reliable, cost-effective, and innovative solutions. It ensures that all aspects like functionality, safety, manufacturability, and maintenance are considered throughout the design process.

Steps in Design Methodology:

  1. Problem Identification – Define the objective and constraints of the design.

  2. Conceptual Design – Generate possible design ideas or mechanisms.

  3. Preliminary Design – Analyze feasibility through sketches, models, or simulations.

  4. Detailed Design – Finalize material selection, dimensions, and manufacturing processes.

  5. Prototyping and Testing – Build a prototype and evaluate performance.

  6. Final Design and Documentation – Prepare design drawings, specifications, and reports.

Example:
Designing a bicycle braking system — from identifying stopping distance requirements to selecting materials for brake pads and testing performance — is done using a systematic design methodology.

Morphology of Mechanical Design

The morphology of mechanical design refers to the structured sequence of stages involved in transforming a design need into a feasible and optimized product. It defines how a design evolves from problem to solution through logical and scientific steps.

Main Phases of Design Morphology:

1 Analysis Phase – Understanding the problem, functional requirements, and system boundaries.

2 Synthesis Phase – Generating and combining different possible design solutions.

3 Evaluation Phase – Comparing, testing, and selecting the most suitable design.

Example: For designing an automatic gate opener:

Analysis – Define torque, power, and motion requirements.

Synthesis – Generate different linkage or motor-driven mechanisms.

Evaluation – Choose the design that gives smooth operation with minimal cost and power.

Design Morphology and Its Phases

Design morphology describes the logical structure or pattern followed during the design process. It ensures no step is skipped and all design possibilities are considered.

Phases:

1 Need or Problem Definition – Identify the customer or industrial requirement.

2 Conceptual Design – Generate multiple solutions (mechanisms or models).

3 Embodiment Design – Evaluate the selected concepts for feasibility.

4 Detail Design – Specify materials, tolerances, dimensions, and production methods.

Example: For a robotic arm design:
Define motion and payload → Generate linkage and actuator concepts → Select the best configuration → Finalize dimensions and materials.

Optimum Design

Optimum design refers to the process of obtaining the best possible design that meets all functional requirements while minimizing or maximizing a specific objective such as weight, cost, or performance.

Types of Optimization Objectives:

  • Minimum weight
  • Minimum cost
  • Maximum strength
  • Maximum efficiency

Example: Designing a connecting rod for minimum weight while maintaining required strength and reliability.

System Concept in Design

A system concept is the overall idea or framework that defines how different components of a mechanical system interact to achieve a function. It focuses on input–process–output relationships.

Example: In a hydraulic lift system,

Input: Hydraulic pressure

Process: Cylinder and piston mechanism

Output: Vertical motion (lifting the load)

This conceptual understanding helps in developing efficient and integrated designs.

Flow Chart of Design Morphology

Problem Identification → Need Analysis and Definition → Information and Data Collection → Concept Generation (Idea Development) → Preliminary Design and Evaluation → Detailed Design and Optimization → Prototype Development and Testing → Final Design Selection and Documentation

Example: While designing a gearbox, engineers follow: Identify power & speed requirements → Collect gear data → Generate concepts → Evaluate gear arrangements → Optimize → Prototype → Finalize design.

Assumptions by Lewis

Lewis assumed that the gear tooth acts like a cantilever beam under the tangential load at the pitch point. The following assumptions are made for deriving the equation:

  1. Only one tooth is in contact and transmits the entire load.
  2. The tangential component of tooth load (Ft) is considered for bending; radial load is neglected.
  3. The tooth profile is smooth and of uniform strength along its profile.
  4. The load acts at the tip of the tooth and is tangential to the pitch circle.
  5. The bending stress is maximum at the tooth root section.
  6. Material of the tooth is homogeneous and isotropic.
  7. The deformation is within the elastic limit and follows Hooke’s law.

Difference Between Involute and Cycloidal Tooth Profiles

ParameterInvolute Tooth ProfileCycloidal Tooth Profile
DefinitionGenerated by the involute of a circleGenerated by rolling a circle on another circle
Pressure AngleConstant throughout engagementVaries during engagement
Line of ActionStraight lineCurved line
InterchangeabilityPossible even with small center distance errorsNot possible; needs exact center distance
ManufacturingEasier using rack cuttersComplex manufacturing
Wear & StrengthBetter strength, more uniform wearSlightly higher wear due to sliding
Used InModern gears (spur, helical)Traditional gears (clocks, watches)

Types of Gear Tooth Failures and Corrective Measures

Type of FailureCauseCorrective Measures
1. Bending FailureExcessive tangential load → fracture at rootIncrease module, face width, or material strength
2. Pitting (Surface Fatigue)Repeated contact stresses cause surface fatigueImprove surface finish, use hard materials, lubrication
3. Scoring (Abrasive Wear)High speed & poor lubrication → metal-to-metal contactUse proper lubrication and smooth finishing
4. Abrasive WearPresence of foreign particles between teethFilter oil, improve sealing and maintenance
5. Corrosive WearChemical reaction with environment or lubricantUse corrosion-resistant materials and clean lubricants
6. Tooth BreakageOverload or shock loadAvoid sudden loads, use tough materials, proper design

Worm Gearing Terms: Lead, Lead Angle, Normal Pitch, Helix Angle

Define Lead, Lead Angle, Normal Pitch, and Helix Angle with respect to worm gearing.

TermSymbolDefinitionMeasured AlongFormula / Relation
LeadLAxial distance the thread advances in one revolutionAxis of worm(L = n × Pₓ)
Lead AngleλAngle between tangent to helix and plane perpendicular to axisAt worm pitch circle(tan λ = L / (π D))
Normal PitchPₙDistance between threads measured normal to helixNormal to helix(Pₙ = Pₓ cos λ)
Helix AngleψAngle between helix and worm axisAt worm pitch circle(ψ = 90° − λ)

Types of Piston Rings and Their Functions

Piston rings are circular metallic rings fitted in grooves on the piston’s outer surface. They provide a gas-tight seal between the piston and cylinder wall while allowing free motion.

Typically, 2 to 4 rings are used on an engine piston — usually 2 compression rings and 1 oil control ring.

Types of Piston Rings:

TypeDescriptionFunction
(a) Compression RingsLocated in the upper grooves of the piston. Made of cast iron or steel.– Seal the combustion chamber to prevent gas leakage.
– Transmit heat from piston to cylinder wall.
(b) Wiper (Intermediate) RingsPlaced between compression and oil rings.– Wipe off excess oil from cylinder walls.
– Prevent oil from entering combustion chamber.
(c) Oil Control RingsLocated in the bottom groove of the piston. Have slots or holes for oil drainage.– Regulate oil film thickness on cylinder walls.
– Scrape off excess oil and return it to the crankcase.

Construction Details:

Made from alloyed cast iron, chrome-plated steel, or ductile iron. Ends are split (gap type) to allow expansion and compression during fitting.

Functions of Piston Rings:

  • Sealing the combustion chamber → prevents gas leakage.
  • Regulating lubrication → controls oil consumption.
  • Heat transfer → conducts heat from piston to cylinder wall.
  • Maintaining pressure balance → ensures efficient combustion.

Construction of Wire Rope

A wire rope is a flexible, high-strength mechanical element made up of several strands of small steel wires twisted together around a core. It is used for lifting, hoisting, hauling, and transmitting motion or power (e.g., in cranes, elevators, and hoists).

Basic Construction: A wire rope consists of three main parts:

  1. Wires: Small steel wires (usually carbon steel or stainless steel) that form the basic load-carrying members.

  2. Strands: Several wires twisted together in a helical form to make one strand. Each strand shares the load and provides flexibility.

  3. Core: The central support around which strands are laid. It provides shape and elasticity.
    Types of cores:

    • Fiber Core (FC): Made of hemp or sisal; provides flexibility and lubrication absorption.

    • Wire Strand Core (WSC): One strand used as a core; stronger than fiber core.

    • Independent Wire Rope Core (IWRC): A small wire rope used as a core; gives maximum strength and heat resistance.

Typical Example:

A 6 × 19 wire rope means:

  • 6 strands,
  • each strand having 19 wires.

Total wires = 6 × 19 = 114 wires.

Meaning of 6 × 37 Rope

  • 6 → Number of strands.

  • 37 → Number of wires in each strand.
    Hence, the rope consists of 6 strands, each having 37 wires, i.e., a total of 222 wires.

This rope is very flexible and suitable for applications where the rope passes over pulleys or drums frequently — such as Electric Overhead Travelling (EOT) cranes.

Types of Ropes Used in Cranes

  1. 6×19 Rope:

    • Medium flexibility and high strength.
    • Used for general hoisting and lifting.
  2. 6×37 Rope:

    • High flexibility due to many fine wires.
    • Used for crane hoisting, trolleying, and boom operations.
  3. 8×19 Rope:

    • Even more flexible; used where ropes bend frequently.
  4. Compacted or Seale Type Rope:

    • Outer layer wires are larger for wear resistance.
    • Used in heavy-duty cranes and mining hoists.

Selection for EOT Cranes

  • For lifting heavy loads → 6×37 IWRC (high strength, flexibility).
  • For medium loads → 6×19 FC (good flexibility, lower cost).

Lays in Wire Ropes

Definition:

Lay refers to the direction and manner in which wires are twisted within a strand and strands are twisted around the core. It determines the rope’s flexibility, wear resistance, and tendency to untwist.

Type of LayDescriptionFeatures & Applications
Ordinary Lay (Regular Lay)Wires in strands are twisted opposite to the lay of strands around the core.Stable, does not untwist easily, used in hoists, elevators, cranes.
Lang’s LayWires in strands are twisted in the same direction as the strands around the core.Greater flexibility, more surface contact → higher wear resistance. Used in winding ropes, draglines.
Alternate LayCombination of ordinary and Lang’s lays alternately.Combines both advantages; good flexibility and stability.
Right Hand Lay / Left Hand LayDirection of strand twist around the core — clockwise or anticlockwise.Right hand lay is most common. Left hand lay used where rope winds opposite direction on drum.

Construction and Types of Wire Ropes

Construction

Each wire rope → several strands → each strand → several wires → all laid helically around a core (FC, WSC, or IWRC). Manufactured mainly from high-carbon steel, phosphor bronze, or stainless steel.

Types of Wire Ropes (Based on Construction):

  1. Ordinary (Regular) Lay Rope:

    • Wires in strands are twisted in opposite direction to the lay of strands around the core.
    • Use: Cranes, hoists, elevators.
  2. Lang’s Lay Rope:

    • Wires and strands twisted in the same direction.
    • Use: Dredgers, draglines, long-length operations.
  3. Alternate Lay Rope:

    • Combination of ordinary and Lang lays alternately.
    • Advantage: Balanced flexibility and stability.
  4. Composite or Seale Type Rope:

    • Outer wires are thicker for wear resistance.
    • Use: Heavy cranes and mine hoists.

Based on Core:

Fiber Core (FC) → More flexibility.

Wire Strand Core (WSC) → Higher strength.

Independent Wire Rope Core (IWRC) → Maximum strength and resistance to crushing.

Applications:

Used in cranes, elevators, mine hoists, cable cars, suspension bridges, and ropeways.