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It treats the laws governing the motion of the parts of a machine and the forces transmitted by these parts.
Science of Mechanism ( Theory of Machines)
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It deals with the motion and forms of the parts of the machine and the manner of supporting and guiding them.
Pure mechanism or machine design
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It is that branch of theory of machine which deals with the relative motion between the various parts of the machines.
Kinematics
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It involves calculating forces. Selection of materials that can withstand these forces.
Constructive mechanism or Machine Design
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It is that branch of theory of machine which deals with the forces and their effects, while acting upon the machine parts in motion.
Dynamics
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It is that branch of theory of machine which deals with the inertia forces which arise from the combined effect of the mass and the motion of machine parts.
Kinetics
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It is that branch of theory of machines which deals with the forces and their effects while the machine parts are at rest.
Static
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Combination of resistant bodies. Arranged that they compel the mechanical forces of nature to produce some effect or work. -With certain determinate motions - the term machine is usually referred to a complete product
Machine
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- Combination of resistant bodies. Arranged that the motion of one compels the motion of the others. - It is used to transfer and modify motion.
Mechanism
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It is a combination of resistant bodies capable of transmitting forces or carrying loads but having no relative motion between parts.
Structure
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It is a structure that supports the moving parts and regulates the path, or kind of motion, of many of the parts. - may either be fixed to the earth or moving relative to the earth.
Frame
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It is an infinitesimal part of a body represented on a drawing by a point. - A line on a body may be thought of as a series of continuous particles arrangin line
Particle
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One whose component particles remain at a constant distance from one another. - It is assumed not to suffer any distortion by the forces that may act on it.
Rigid Body
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Piece of mechanism which causes motion.
Driver
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Piece of mechanism whose motion is affected.
Follower
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- one element envelopes/encloses the other element - the form of the element is geometrically identical - surface contact exists between two members
Closed or Lower pair
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- the elements does not enclose each other - the elements are either in point or line contact
Higher Pair
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Exchange of the fixedness of an element with its partner
Inversion of Pairs
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- is indicated by change in position - can either be absolute or relative - determined by the path - has direction and sense
Motion
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When a point continues to move indefinitely in a given path in the same aense
Continuous Motion
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When a point traverses the same path and reverses ots motion at the ends of such path.
Reciprocating Motion
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The term applied to reciprocating circular motion. (eg. pendulum)
Oscillation
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When the motion of a point is interrupted by the period of rest.
Intermittent Motion
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Is the time rate of motion of a point along its path, expressed in linear unitsper unit of time .
Linear Speed
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Is the time rate of turning a body about an axis ( and the rate it is changing direction), expressed in angular units per unit of time.
Angular Speed
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A moving particle continues to move in a straight line covering equal distances in equal intervals of time. - acceleration is zero - velocity is constant
Uniform Motion
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The speed changes by equal amounts in equal intervals of time. - Acceleration is constant
Uniformly Varying Motion
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When the acceleration of a moving object as a function of distance, velocity or time. - can be solved analytically or graphically
Variable acceleration
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If given distance and time
Graphical Differentation
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If given acceleration and time.
Graphical Integration
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A type of motion in which the acceleration varies directly as the displacement.
Harmonic Motion
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An arm rotating or oscillating about an axis.
Crank
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Two cranks rigidly connected to each other on the same axis.
Lever
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Angle less than 90 degrees
Bell Crank Lever
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Angle more than 90 degrees.
Rocker
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A rigid piece which transmits force from one piece to another. - processes at least two nodes which are points for attachment to other links.
Link
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it consists a number of pairs of elements called links connected to each other by joints.
Linkage
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An interconnected system of links in which not a single link is fixed.
Kinematic Chain
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When one of the links in the chain is fixed.
Mechanism
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It consists of two cranks attached to stationary piece at one end and connected to each other by a rigid rod or bar called connecting rod, coupler or floating link.
Four-bar linkage
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Is a special form of a four-bar linkage with slider in which the center line of the slot passes through the center of the shaft.
Slider-Crank Mechanism
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-Also call kinematic pairs. -Is a connection between two or more links. -Allows motion between the connected links
Joint
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The number of inputs which needed to be provided in order to create a predictable output. The number of independent coordinates required to define it’s position.
Degree of Freedom ( DOF)
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A lower-pair joint reduces the mobility of a mechanism by ____________?
Two DOF
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A high-pair joint reduces the mobility of a mechanism by ___________?
One DOF
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Kutzbach’s Equation of mobility
m= 3(n-1)-2j1-j2
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are linkages that do not behave behave as predicted by the Gruebler/kutzbach equation.
Gruebler Paradox
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Is the process of choosing different links in the chain as frame.
Kinematic Inversion
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Is relationship which predicts the rotation behavior of a four-bar linkage’s inversions based on the link lengths.
Grash of Condition
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Class 1 Case ( Grash of linkage)
S+L < P+Q
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ground either link adjacent to the shortest
Crank rocker
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ground the shortest link
Double Crank
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ground the link opposite the shortest
Double Rocker
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Class 2 Case( Non-Grash of Linkage)
S+L>P+Q
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Class 3 Case ( Special-case grashof)
S+L=P+Q
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A special case of grashof condition where in all inversions can either be double cranks or crank rockers because of the presence of ___________?
change points
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shortest link will fully rotate and the other link pivoted to ground will oscillate
Crank Rocker
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input motion is duplicated at a remote locations
Parallegram
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It is the creation of potential solutions in the absence of a well-defined algorithm which configures or predicts the solution.
Qualitative Synthesis
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refers to the definition of the proper type of mechanism best suited to the problem.
Type Synthesis
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determination of the proportion (lengths) of the links necessary to accomplish the desired motion.
Dimensional Synthesis
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generation of one or more solutions of a particular type suitable to the problem and has a defined synthesis algorithm.
Quantitative/Analytical Synthesis
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correlation of an input motion with an output motion in a mechanism.
Function Generation
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control of a point in the plane such that it follows some prescribe path.
Path Generation
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Control of a line in the plane such that it assumes some prescribed set of sequential positions.
Motion Generation
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suitable for situations in which grashof crank rocker is desire
Function generation ( Rocker output)
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-two positions of a line in the plane are defined as the output. - will frequently result to a triple rocker mechanism
Motion Generation (Coupler Output)
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two positions with complex displacement
Rocker output
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is a point, common to two bodies in plane motion, where in the absolute instantaneous velocity in each body is the same. Also called “centros” or “poles”.
Instant Center
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it remain in the same place for all configurations of the mechanism.
Fixed instant centers
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it move when the mechanism move but the joints are of permanent nature.
Permanent instant centers
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it vary with the configuration of the mechanism
Moving instant centers
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for a mechanism containing n number of links,
Number of Instant center. |. N=n(n-1)/2
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Any three bodies in plane motion will have exactly three instant centers, and they will lie on the same straight line.
Kennedy’s Rule
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-rate of change of velocity in direction-sense -perpendicular to the velocity of the particle at the give instant.
Centripetal, radial or normal component
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- rate of change of velocity in magnitude - parallel to the velocity of the particle at the given instant.
Tangential Component
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-is a rate of change of velocity with respect to time. -is a vector quantity and can be linear or angular.
Acceleration