Synthesis of Harmonic Motion Generating Linkages—Part I: Function Generation

This paper deals with the first and higher-order function-generation problems in the synthesis of linkages with relatively small input cranks. Such linkages tend to produce nearly simple harmonic motions at the output members. Owing to this distinction, the generality of the conventional synthesis techniques is no longer applicable. Thus, in function generation, only harmonic functions of the input motion may be expected to be synthesized for output motions.

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Synthesis of Harmonic Motion Generating Linkages: Part I — Function Generation

13th Design Automation Conference: Volume 2 — Robotics, Mechanisms, and Machine Systems ◽

10.1115/detc1987-0111 ◽

1987 ◽

Author(s):

K. Farhang ◽

A. Midha ◽

A. K. Bajaj

Keyword(s):

Harmonic Functions ◽

Higher Order ◽

Order Function ◽

Harmonic Motion ◽

Function Generation ◽

Synthesis Techniques ◽

Input Motion

Abstract This paper deals with the first- and higher-order function generation problems in the synthesis of linkages with relatively small input cranks. Such linkages tend to produce nearly simple harmonic motions at the output members. Owing to this distinction, the generality of the conventional synthesis techniques is no longer applicable. Thus, in function generation, only harmonic functions of the input motion may be expected to be synthesized for output motions.

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Synthesis of Harmonic Motion Generating Linkages: Part II — Path and Motion Generation

13th Design Automation Conference: Volume 2 — Robotics, Mechanisms, and Machine Systems ◽

10.1115/detc1987-0112 ◽

1987 ◽

Author(s):

K. Farhang ◽

A. Midha ◽

A. S. Hall

Keyword(s):

Companion Paper ◽

Higher Order ◽

Rate Of Change ◽

Connecting Rod ◽

Motion Generation ◽

Harmonic Motion ◽

Function Generation ◽

Synthesis Techniques ◽

General Synthesis

Abstract This paper, a sequel to a companion paper on function generation, discusses the path and motion generation problems in the synthesis of linages with relatively small input cranks. The point on the floating link (i.e., the coupler of a crank-rocker linkage point on connecting rod in a slider-crank linkage) traces an approximate ellipse. This fact serves as a major distinction between the method described herein and the conventional, more general, synthesis techniques. In other words, only elliptical paths may be generated by the path (or coupler) points in the synthesis of linkages with small cranks. Higher order path and motion generation, in which velocity, acceleration, slope and the rate of change of slope of the coupler path may be specified, are also addressed in this paper.

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Synthesis of Harmonic Motion Generating Linkages—Part II: Path and Motion Generation

Journal of Mechanisms Transmissions and Automation in Design ◽

10.1115/1.3258899 ◽

1988 ◽

Vol 110 (1) ◽

pp. 22-27 ◽

Cited By ~ 8

Author(s):

K. Farhang ◽

A. Midha ◽

A. S. Hall

Keyword(s):

Companion Paper ◽

Higher Order ◽

Rate Of Change ◽

Connecting Rod ◽

Motion Generation ◽

Harmonic Motion ◽

Function Generation ◽

Synthesis Techniques ◽

General Synthesis

This paper, a sequel to a companion paper on function generation, discusses the path and motion generation problems in the synthesis of linkages with relatively small input cranks. The point on the floating link (i.e., the coupler of a crank-rocker linkage or the connecting rod in a slider-crank linkage) traces an approximate ellipse. This fact serves as a major distinction between the method described herein and the conventional, more general, synthesis techniques. In other words, only elliptical paths may be generated by the path (or coupler) points in the synthesis of linkages with small cranks. Higher-order path and motion generation, in which velocity, acceleration, slope and the rate of change of slope of the coupler path may be specified, are also addressed in this paper.

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Optimum Synthesis of Coupler Curve and Uniform Rotary Motion Driven Multiloop Mechanisms Generating Complex Output Motions

Journal of Mechanical Design ◽

10.1115/1.2919295 ◽

1993 ◽

Vol 115 (4) ◽

pp. 967-977 ◽

Cited By ~ 6

Author(s):

C. Bagci ◽

D. Burke

Keyword(s):

Optimum Design ◽

Design Process ◽

Higher Order ◽

Error Minimization ◽

Motion Error ◽

Synthesis Techniques ◽

Optimum Synthesis ◽

Minimization Technique ◽

Higher Order Derivative ◽

Input Motion

Article presents analytical optimum synthesis techniques to synthesize coupler curve driven multiloop mechanisms to generate programmed rotary and linear output motions driven by uniform rotary input motion. Error minimization technique minimizing errors in the loop-closure equations is used. Velocity, acceleration, and higher order derivative constraints can be introduced. Solution of design equations formed requires no iteration. Only four types of coupler curve driven six-bar second loop dyads (RPR, RRR, RPP, and RRP) are obtainable. More loops are added to form eight-bar or ten-bar mechanisms. Crank-rocker 4R four-bar mechanism generates the driver coupler curve. Optimum design process, and related software program for graphics interactive synthesis of multiloop mechanisms containing the aforementioned dyads are presented. Third loops forming eight-bar mechanisms to improve efficiency and enlarge strokes are also included. Application examples are given.

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Development of near infrared-light spectroscopic topography - novel imaging modality for higher order function of the human brain

The Second Asian and Pacific Rim Symposium on Biophotonics, 2004. APBP 2004. ◽

10.1109/apbp.2004.1412250 ◽

2005 ◽

Author(s):

A. Maki ◽

T. Yamamoto ◽

H. Sato ◽

M. Kigachi ◽

N. Tanaka ◽

...

Keyword(s):

Human Brain ◽

Near Infrared ◽

Imaging Modality ◽

Higher Order ◽

Infrared Light ◽

Near Infrared Light ◽

Order Function

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Higher Order Function Networks for View Planning and Multi-View Reconstruction

2020 IEEE International Conference on Robotics and Automation (ICRA) ◽

10.1109/icra40945.2020.9197435 ◽

2020 ◽

Author(s):

Selim Engin ◽

Eric Mitchell ◽

Daewon Lee ◽

Volkan Isler ◽

Daniel D. Lee

Keyword(s):

Higher Order ◽

View Planning ◽

Order Function ◽

View Reconstruction

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An Integral Method of Liapunov Function Generation for Nonlinear Autonomous Systems

Journal of Applied Mechanics ◽

10.1115/1.3627260 ◽

1965 ◽

Vol 32 (3) ◽

pp. 569-575 ◽

Cited By ~ 8

Author(s):

J. A. Walker ◽

L. G. Clark

Keyword(s):

Asymptotic Stability ◽

Integral Method ◽

Autonomous Systems ◽

Liapunov Function ◽

Higher Order ◽

Phase Variable ◽

Variable Form ◽

Function Generation ◽

Liapunov Functions

A method is developed for generating Liapunov functions with which to determine the domain of asymptotic stability for nonlinear autonomous systems of any order, so long as these systems may be represented in phase variable form. The method is illustrated by several examples of higher order.

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A pointer's hypothesis of general intelligence evolved from domain-specific demands

Behavioral and Brain Sciences ◽

10.1017/s0140525x16001801 ◽

2017 ◽

Vol 40 ◽

Author(s):

X. T. (Xiao-Tian) Wang

Keyword(s):

Brain Function ◽

Higher Order ◽

Verbal Communication ◽

General Intelligence ◽

Order Function ◽

Task Specificity ◽

Domain Specific ◽

Multiple Domain ◽

Adaptive Problem

AbstractA higher-order function may evolve phylogenetically if it is demanded by multiple domain-specific modules. Task-specificity to solve a unique adaptive problem (e.g., foraging or mating) should be distinguished from function-specificity to deal with a common computational demand (e.g., numeracy, verbal communication) required by many tasks. A localized brain function is likely a result of such common computational demand.

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