Ho Chi Minh City University of Technology (HCMUT), VNU-HCM
Department of Machine Design - Faculty of Mechanical Engineering
CHAPTER 1
STRUCTURE OF MECHANISM
Assoc.Prof.Dr. Le Thanh Long
ltlong@hcmut.edu.vn
1
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM
Department of Machine Design - Faculty of Mechanical Engineering
2
OUTLINE
1. Basic Definitions.
2. Degree of Freedom of Mechanisms.
3. Assur Group.
4. All low pair planar mechanism, four bar linkage mechanism.
5. Special structures.
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM
Department of Machine Design - Faculty of Mechanical Engineering
3
1.1 Machine Element and Link.
1.2 Kinematic Pair and Pair element.
1.3 Classifications of Kinematic Pairs.
1.4 Kinematic Diagram of a Mechanism.
1.5 Kinematic chain and classification of kinematic chain.
1. Basic Definitions
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM
Department of Machine Design - Faculty of Mechanical Engineering
4
1. Basic Definitions
1.1 Machine Element and Link
Machine element: all the machines are made up of elements or parts and units, each
element can be separated but still own its functions is called machine element
Link: during working, all of parts has relative motion with respect to others is called a
link
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM
Department of Machine Design - Faculty of Mechanical Engineering
5
1. Basic Definitions
1.2 Kinematic Pair and Pair element.
Degree of Freedom of a link
One independent movability of a link with respect to a reference frame is called
one degree of freedom
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM
Department of Machine Design - Faculty of Mechanical Engineering
6
1. Basic Definitions
1.2 Kinematic Pair and Pair element.
Degree of Freedom of a link
Between 2 links in a plane 3 dof : Tx, Ty, Qz
Between 2 links in a space 6 dof : Tx, Ty, Tz, Qx, Qy, Qz
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM
Department of Machine Design - Faculty of Mechanical Engineering
7
1. Basic Definitions
1.2 Kinematic Pair and Pair element.
Kinematic pair : connection between two links to limit their relative movement.
All points of contact between two links is called a Pair element.
pair element of the right hinges
pair element of the left hinges
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM
Department of Machine Design - Faculty of Mechanical Engineering
8
1. Basic Definitions
1.3 Classifications of Kinematic Pairs
a. By the number of constrains: type k joint has k constrains
Type 1
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM
Department of Machine Design - Faculty of Mechanical Engineering
9
1. Basic Definitions
1.3 Classifications of Kinematic Pairs
a. By the number of constrains: type k joint has k constrains
Type 2
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM
Department of Machine Design - Faculty of Mechanical Engineering
10
1. Basic Definitions
1.3 Classifications of Kinematic Pairs
a. By the number of constrains: type k joint has k constrains
Type 3
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM
Department of Machine Design - Faculty of Mechanical Engineering
11
1. Basic Definitions
1.3 Classifications of Kinematic Pairs
a. By the number of constrains: type k joint has k constrains
Type 4
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM
Department of Machine Design - Faculty of Mechanical Engineering
12
1. Basic Definitions
1.3 Classifications of Kinematic Pairs
a. By the number of constrains: type k joint has k constrains
Type 5
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM
Department of Machine Design - Faculty of Mechanical Engineering
13
1. Basic Definitions
1.3 Classifications of Kinematic Pairs
a. By the contact:
Higher pair: pair elements are points or lines
Lower pair: pair elements are surfaces
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM
Department of Machine Design - Faculty of Mechanical Engineering
14
1. Basic Definitions
Lower pair: pair elements are surfaces
1.3 Classifications of Kinematic Pairs
a. By the contact : type k joint has k constrains
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM
Department of Machine Design - Faculty of Mechanical Engineering
15
1. Basic Definitions
1.4 Kinematic Diagram of a Mechanism.
a. Kinematic Diagram of a joint
For the convenience of research, joints are represented by kinematic
diagrams
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM
Department of Machine Design - Faculty of Mechanical Engineering
16
1. Basic Definitions
1.4 Kinematic Diagram of a Mechanism.
b. Kinematic diagram of link.
Links are represented by kinematic diagram.
In the kinematic diagram of links:
- All pairs must be presented.
- All dimensions effect to the motion of the mechanism must be presented
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM
Department of Machine Design - Faculty of Mechanical Engineering
17
1. Basic Definitions
1.5 Kinematic chain and classification of kinematic chain
Kinematic chain: the combination of links and pairs
Classification of kinematic chains:
- Closed kinematic chain.
- Open kinematic chain.
- Planar kinematic chain.
- Spatial kinematic chain.
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM
Department of Machine Design - Faculty of Mechanical Engineering
18
1. Basic Definitions
1.5 Kinematic chain and classification of kinematic chain
- Closed kinematic chain : Links are connected together into one or more closed
perimeters (each link must participate in at least 2 dynamic joints)
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM
Department of Machine Design - Faculty of Mechanical Engineering
19
1. Basic Definitions
1.5 Kinematic chain and classification of kinematic chain
- Open kinematic chain : Links aren’t connected together into one or more closed
perimeters (some links only participate in one dynamic joint)
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM
Department of Machine Design - Faculty of Mechanical Engineering
20
1. Basic Definitions
1.5 Kinematic chain and classification of kinematic chain
- Planar kinematic chain : Links move in the same plane or parallel planes.

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Ho Chi Minh City University of Technology (HCMUT), VNU-HCM CHAPTER 1 STRUCTURE OF MECHANISM
Assoc.Prof.Dr. Le Thanh Long ltlong@hcmut.edu.vn 1
Department of Machine Design - Faculty of Mechanical Engineering
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM OUTLINE 1. Basic Definitions.
2. Degree of Freedom of Mechanisms. 3. Assur Group.
4. All low pair planar mechanism, four bar linkage mechanism. 5. Special structures. 2
Department of Machine Design - Faculty of Mechanical Engineering
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM 1. Basic Definitions 1.1 Machine Element and Link.
1.2 Kinematic Pair and Pair element.
1.3 Classifications of Kinematic Pairs.
1.4 Kinematic Diagram of a Mechanism.
1.5 Kinematic chain and classification of kinematic chain. 3
Department of Machine Design - Faculty of Mechanical Engineering
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM 1. Basic Definitions 1.1 Machine Element and Link
Machine element: all the machines are made up of elements or parts and units, each
element can be separated but still own its functions is called machine element
Link: during working, all of parts has relative motion with respect to others is called a link 4
Department of Machine Design - Faculty of Mechanical Engineering
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM 1. Basic Definitions
1.2 Kinematic Pair and Pair element. Degree of Freedom of a link
• One independent movability of a link with respect to a reference frame is called one degree of freedom 5
Department of Machine Design - Faculty of Mechanical Engineering
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM 1. Basic Definitions
1.2 Kinematic Pair and Pair element. Degree of Freedom of a link
• Between 2 links in a plane  3 dof : Tx, Ty, Qz
• Between 2 links in a space  6 dof : Tx, Ty, Tz, Qx, Qy, Qz 6
Department of Machine Design - Faculty of Mechanical Engineering
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM 1. Basic Definitions
1.2 Kinematic Pair and Pair element.
Kinematic pair : connection between two links to limit their relative movement.
All points of contact between two links is called a Pair element.
pair element of the right hinges
pair element of the left hinges 7
Department of Machine Design - Faculty of Mechanical Engineering
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM 1. Basic Definitions
1.3 Classifications of Kinematic Pairs
a. By the number of constrains: type k joint has k constrains Type 1 8
Department of Machine Design - Faculty of Mechanical Engineering
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM 1. Basic Definitions
1.3 Classifications of Kinematic Pairs
a. By the number of constrains: type k joint has k constrains Type 2 9
Department of Machine Design - Faculty of Mechanical Engineering
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM 1. Basic Definitions
1.3 Classifications of Kinematic Pairs
a. By the number of constrains: type k joint has k constrains Type 3 10
Department of Machine Design - Faculty of Mechanical Engineering
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM 1. Basic Definitions
1.3 Classifications of Kinematic Pairs
a. By the number of constrains: type k joint has k constrains Type 4 11
Department of Machine Design - Faculty of Mechanical Engineering
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM 1. Basic Definitions
1.3 Classifications of Kinematic Pairs
a. By the number of constrains: type k joint has k constrains Type 5 12
Department of Machine Design - Faculty of Mechanical Engineering
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM 1. Basic Definitions
1.3 Classifications of Kinematic Pairs a. By the contact:
• Higher pair: pair elements are points or lines
• Lower pair: pair elements are surfaces 13
Department of Machine Design - Faculty of Mechanical Engineering
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM 1. Basic Definitions
1.3 Classifications of Kinematic Pairs
a. By the contact : type k joint has k constrains
• Lower pair: pair elements are surfaces 14
Department of Machine Design - Faculty of Mechanical Engineering
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM 1. Basic Definitions
1.4 Kinematic Diagram of a Mechanism.
a. Kinematic Diagram of a joint
For the convenience of research, joints are represented by kinematic diagrams 15
Department of Machine Design - Faculty of Mechanical Engineering
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM 1. Basic Definitions
1.4 Kinematic Diagram of a Mechanism. b. Kinematic diagram of link.
Links are represented by kinematic diagram.
In the kinematic diagram of links: - All pairs must be presented. -
All dimensions effect to the motion of the mechanism must be presented 16
Department of Machine Design - Faculty of Mechanical Engineering
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM 1. Basic Definitions
1.5 Kinematic chain and classification of kinematic chain
Kinematic chain: the combination of links and pairs
Classification of kinematic chains: - Closed kinematic chain. - Open kinematic chain. - Planar kinematic chain. - Spatial kinematic chain. 17
Department of Machine Design - Faculty of Mechanical Engineering
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM 1. Basic Definitions
1.5 Kinematic chain and classification of kinematic chain
- Closed kinematic chain : Links are connected together into one or more closed
perimeters (each link must participate in at least 2 dynamic joints) 18
Department of Machine Design - Faculty of Mechanical Engineering
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM 1. Basic Definitions
1.5 Kinematic chain and classification of kinematic chain
- Open kinematic chain : Links aren’t connected together into one or more closed
perimeters (some links only participate in one dynamic joint) 19
Department of Machine Design - Faculty of Mechanical Engineering
Ho Chi Minh City University of Technology (HCMUT), VNU-HCM 1. Basic Definitions
1.5 Kinematic chain and classification of kinematic chain
- Planar kinematic chain : Links move in the same plane or parallel planes. 20
Department of Machine Design - Faculty of Mechanical Engineering