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Compliant Mechanisms: Principles and Design

Compliant Mechanisms: Principles and Design. Instructor: Prof. G. K. Ananthasuresh, Department of Mechanical Engineering, IISc Bangalore. This course introduces the concept and principles of compliant mechanisms and presents the design methods in detail. Various applications of compliant mechanisms in consumer products, microsystems, aerospace, automotive, and biomedical industries will be touched upon throughout the course. It is a comprehensive treatment of the growing field of compliant mechanisms starting from the classics and basics and ending with the state of the art. (from nptel.ac.in)

Lecture 12 - Subtleties in Finite Element Analysis: Geometric Nonlinearity and Contact

Concepts covered in this lecture: Practising simulation of compliant mechanisms involving contact and large displacements and rotations.

Go to the Course Home or watch other lectures:

Overview of Compliant Mechanisms; Mobility Analysis

Lecture 01 - Overview

Lecture 02 - Spirit of Compliant Design

Lecture 03 - A Glimpse of Applications

Lecture 04 - Mobility and Degrees of Freedom in Compliant Mechanisms

Lecture 05 - Maxwell's Rule and Grubler's Formula

Lecture 06 - Using Compatibility and Force Equilibrium Matrices to Identify Degrees of Freedom and State of Self-stress in Trusses

Modeling of Flexures and Finite Element Analysis

Lecture 07 - Empirical Formula for Flexure Joints

Lecture 08 - Types of Elastic Pairs (Flexures)

Lecture 09 - Linear Finite Element Analysis of Compliant Mechanisms with Beam Elements

Lecture 10 - A Compliant Mechanism Kit

Lecture 11 - Linear and Non-linear Finite Element Analysis using Continuum Elements

Lecture 12 - Subtleties in Finite Element Analysis: Geometric Nonlinearity and Contact

Large Displacement Analysis of a Cantilever Beam and Pseudo Rigid Body Modeling

Lecture 13 - Deformation of a Cantilever under a Tip-load, using Elliptic Integrals

Lecture 14 - Elliptic Integrals and their Use in Elastic Analysis

Lecture 15 - Frisch-Fays Approach to Large Deformation of Beam

Lecture 16 - Burns-Crossleys Kinematic Model

Lecture 17 - Howell-Midha's Elastic Model

Lecture 18 - Pseudo Rigid-body (PRB) Modeling

Analysis and Synthesis using Pseudo Rigid-Body Models

Lecture 19 - Modeling a Partially Compliant Mechanism

Lecture 20 - Kinematic Coefficients of a Four-bar Linkage with and without Springs

Lecture 21 - Solving Equations of PRB Modeling and Comparing with Finite Element Analysis

Lecture 22 - Loop-closure Equations for PRB Models of Compliant Mechanisms

Lecture 23 - Burmester Theory for Compliant Mechanisms

Lecture 24 - PRB based Synthesis Examples

Structural Optimization Approach to Design for Deflection

Lecture 25 - Structural Optimization Approach

Lecture 26 - Early Works on Design for Compliance

Lecture 27 - Design for Deflection of Trusses

Lecture 28 - Design for Deflection of Beams and Frames

Lecture 29 - Design of Elastic Continua for Desired Deflection

Lecture 30 - Continuum Element-Based Topology Optimization of Compliant Mechanisms

Designing Compliant Mechanisms using Continuum Topology Optimization; Distributed Compliance

Lecture 31 - YinSyn; Synthesis of Non-linear Responses with Compliant Mechanisms

Lecture 32 - Five Different Formulations for Compliant Mechanism and Design

Lecture 33 - Distributed Compliance

Lecture 34 - How to Achieve Distributed Compliance

Lecture 35 - Shape Optimization

Lecture 36 - Cam-flexure Clamp-case-study

Spring-lever and Spring-mass-lever Models for Compliant Mechanisms, and Selection Maps

Lecture 37 - Spring-lever Model for Compliant Mechanisms

Lecture 38 - Feasibility Maps for Complaint Mechanism

Lecture 39 - Selection of Compliant Mechanisms for Given User-specifications

Lecture 40 - Two Case-studies using Feasibility Maps Technique

Lecture 41 - Spring-mass-lever Model for Compliant Mechanisms for Dynamic Response

Lecture 42 - Redesign of Compliant Mechanisms; MATLAB and Java Codes

Non-dimensional Analysis of Compliant Mechanisms and Kinetoelastic Maps

Lecture 43 - Non-Dimensional Analysis of Beams

Lecture 44 - Deformation Index and Slenderness Ratio of Complaint Mechanisms

Lecture 45 - Kinetoelastostatic Maps

Lecture 46 - Designing with Kinetoelastic Maps

Lecture 47 - Non-dimensionalization of Stress, Frequency, and Other Measures

Lecture 48 - Designing Compliant Suspensions using Kinetoelastic Maps

Instant Center and Building-block Methods for Designing Compliant Mechanisms

Lecture 49 - Instant Center Method for Designing Compliant Mechanisms

Lecture 50 - Stiffness and Compliance Ellipsoids

Lecture 51 - Building Block Method of Designing Compliant Mechanisms

Lecture 52 - Comparative Analysis of Different Methods for Designing Compliant Mechanisms

Lecture 53 - Aspects of Mechanical Advantage of Compliant Mechanisms

Lecture 54 - Mechanical Advantage of Rigid-body and Compliant Mechanisms

Bistable Compliant Mechanisms and Static Balancing of Compliant Mechanisms

Lecture 55 - Bistability in Elastic Systems

Lecture 56 - Analysis of Bistable Arches

Lecture 57 - Compliant Mechanisms with Bistable Arches

Lecture 58 - Static Balancing and Zero-free-length Springs

Lecture 59 - Static Balance of a Compliant Mechanism using a Linkage

Lecture 60 - Static Balancing Method for Compliant Mechanisms

Compliant Mechanisms and Microsystems; Materials and Prototyping of Compliant Mechanisms

Lecture 61 - A catalogue of Compliant Mechanisms

Lecture 62 - Compliant Suspension Mechanism in Microsystems (MEMS)

Lecture 63 - Micromechanical Signal Processors using Compliant Mechanisms

Lecture 64 - A Few Special Concepts of Compliant Mechanisms

Lecture 65 - Materials and Prototyping of Compliant Mechanisms

Lecture 66 - Summary of the Course

Six Case Studies of Compliant Mechanisms

Lecture 67 - Micromachined Accelerometers with Displacement-amplifying Compliant Mechanisms (DaCMs)

Lecture 68 - Miniature Compliant Mechanisms as Cell-manipulation Tools

Lecture 69 - Micronewton Force Sensor

Lecture 70 - Compliant Tissue Cutting Mechanism

Lecture 71 - A Compliant Pipe-crawling Robots

Lecture 72 - A Compliant Easy-chair for the Elderly