Predicting Encounter Rates for Zooplankton: A Model Assuming a Cylindrical Encounter Field

1982 ◽  
Vol 39 (2) ◽  
pp. 237-242 ◽  
Author(s):  
Louis A. Giguère ◽  
André Delâge ◽  
Lawrence M. Dill ◽  
Jeroen Gerritsen
Keyword(s):  
Mathematical Model ◽  
Constant Velocity ◽  
Encounter Rates ◽  
Ambush Predator ◽  
Larva Feeding

We delimit a cylindrical attack field for a Chaoborus larva feeding on zooplankton, and propose a mathematical model to predict encounter rates with prey for this ambush predator. The model is based on the encounter process between a stationary cylinder and spheres moving at constant velocity in random directions. The predictions of the model are corroborated in the laboratory.Key words: zooplankton, encounter model, Chaoborus, ambush predator, copepod

MASA MENUNGGU KERANA MASA LENGAH BAS DI PUTRAJAYA

2017 ◽  
Vol 79 (2) ◽  
Author(s):  
Ruslawati Abdul Wahab ◽  
Muhamad Nazri Borhan ◽  
Riza Atiq Abdullah O.K. Rahmat
Keyword(s):  
Mathematical Model ◽  
Time Delay ◽  
Traffic Flow ◽  
Waiting Time ◽  
Constant Velocity ◽  
Arrival Times ◽  
Design Expert ◽  
Departure Time ◽  
Bus Service ◽  
Saturated Traffic

Passenger waiting time is included in the estimated travel time. Waiting time will be unstable and unpredictable in estimation because of inconsistencies of bus arrival times at stops. These can result an unreliable of bus service. This paper examines the waiting time due to three factors; delay resulting from inaccuracies of bus departure time, delay during the process of boarding and alighting passengers and delay when the bus unable to maintain constant velocity because of saturated traffic flow. The research used the combination of mathematical model and Design Expert Research Methodology Surface (RSM) applications which has pivotal role in acquire optimum waiting time based on constraints delay between two arrival times at stop. The optimum waiting time obtained from the output design target in range 0-15 minutes were 4 minutes for route L01 and 5.87 minutes for L05. The estimated waiting time obtained from this research can be used as a key feature in the design of buses operating to minimize the delay and at the same time get the reliability of passengers.

Introducing Glory: A Novel Strategy for an Omnidirectional Spherical Rolling Robot

2004 ◽  
Vol 126 (3) ◽  
pp. 678-683 ◽  
Author(s):  
Amir Homayoun Javadi A. ◽  
Puyan Mojabi
Keyword(s):  
Mathematical Model ◽  
Motion Planning ◽  
Constant Velocity ◽  
Spherical Robot ◽  
Robot System ◽  
Propulsion Mechanism ◽  
Analytical Studies ◽  
Internal Mechanism ◽  
Novel Strategy ◽  
Rolling Robot

This paper describes a prototype and analytical studies of a spherical rolling robot, a new design of an omnidirectional robot system. The robot can arbitrarily begin to move in any direction to the target, and autonomously roll and reach any desired position. Our design has considered a spherical robot with an internal mechanism for propulsion. The propulsion mechanism will distribute weights radially along spokes fixed inside the sphere and enables the robot to accelerate, decelerate, and move with constant velocity. A mathematical model of the robot’s dynamic and motion was instructed. An algorithmic motion planning is developed and, partly, pseudocode of that is presented. For a number of missions, it is shown experimentally that the model agrees well with the results.

scholarly journals Determination of the Stress Field of the Brittle Rock Caused by Quasistatic Load

2016 ◽  
Vol 16 (1) ◽  
pp. 29-32
Author(s):  
Marine Losaberidze ◽  
Mamuka Vazagasvili ◽  
Mikheil Tutberidze
Keyword(s):  
Mathematical Model ◽  
Stress Field ◽  
Half Plane ◽  
Constant Velocity ◽  
Brittle Rock ◽  
Analytical Functions ◽  
The Mathematical Model

Abstract In the paper the mathematical model has been proposed according of which the rock is considered as an orthotropic half-plane. On the boundary of this half-plane the loads, moving at a constant velocity, exert a pressure. The problem was solved by means of the theory of analytical functions.

Modelling of aircraft program motion with application to circular loop simulation

1988 ◽  
Vol 92 (917) ◽  
pp. 289-296 ◽  
Author(s):  
W. Blajer
Keyword(s):  
Mathematical Model ◽  
Lagrange Multiplier ◽  
Constant Velocity ◽  
Differential Algebraic Equations ◽  
Numerical Calculations ◽  
Algebraic Equations ◽  
Motion Equations ◽  
Transient Dynamic ◽  
Circular Loop ◽  
Aircraft Motion

Summary The objective of this paper is to present the principles of a mathematical model of aircraft prescribed motion. Requirements imposed on the aircraft motion are treated as program constraints on the system and both the transient dynamic solution of motion equations and the control ensuring the exact realisation of the prescribed motion are obtained as a result. The approach used is equivalent to the Lagrange multiplier method, generalised for the purpose of this paper. It consists of the solution of the set of differential/algebraic equations of index exceeding three. The presented mathematical model has been applied to the simulation of aircraft prescribed motion in a loop. The flight along an ideal circle and the flight with additionally demanded constant velocity are described. Some results of numerical calculations are demonstrated.

The Design of Paver Driving Control System on SCM

2011 ◽  
Vol 328-330 ◽  
pp. 2032-2035
Author(s):  
Cheng Fa Song ◽  
Ming Di Wang
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Control Strategy ◽  
Constant Velocity ◽  
Digital Controller ◽  
Control Technology ◽  
Velocity Control ◽  
Software And Hardware ◽  
Hardware Designs ◽  
Specific Control

The digital controller applied to the traveling system of the paving machine is researched in this paper. The software and hardware designs of the control system utilizing microcomputer are accomplished; the complete mathematical model of dynamic characteristics for whole drive system is also given out. A specific control strategy to control the machine’s running forwards and backwards of starting, braking, accelerating and decelerating is designed, and the control of turning right or left and steering is put out too. At the same time, when the PID theory is put into the design of the digital controller, the study of constant velocity control technology is emphasized greatly.

Record Wear Studies by Scanning Electron Microscopy

1968 ◽  
Vol 26 ◽  
pp. 364-365
Author(s):  
M.D. Coutts ◽  
E.R. Levin ◽  
J.G. Woodward
Keyword(s):  
Electron Microscopy ◽  
Constant Velocity ◽  
Peak Velocity ◽  
Great Depth ◽  
Depth Of Focus ◽  
Sweep Frequency ◽  
Transmission Electron ◽  
Test Record ◽  
Lateral Mode ◽  
Scanning Electron

While record grooves have been studied by transmission electron microscopy with replica techniques, and by optical microscopy, the former are cumbersome and restricted and the latter limited by lack of depth of focus and resolution at higher magnification. With its great depth of focus and ease in specimen manipulation, the scanning electron microscope is admirably suited for record wear studies.A special RCA sweep frequency test record was used with both lateral and vertical modulation bands. The signal is a repetitive, constant-velocity sweep from 2 to 20 kHz having a duration and repetitive rate of approximately 0.1 sec. and a peak velocity of 5.5 cm/s.A series of different pickups and numbers of plays were used on vinyl records. One centimeter discs were then cut out, mounted and coated with 200 Å of gold to prevent charging during examination. Wear studies were made by taking micrographs of record grooves having 1, 10 and 50 plays with each stylus and comparing with typical “no-play” grooves. Fig. 1 shows unplayed grooves in a vinyl pressing with sweep-frequency modulation in the lateral mode.

Mathematical model of hit phenomena and its application to movie advertisement

2008 ◽  
Author(s):  
Ishii Akira ◽  
Yoshida Narihiko ◽  
Hayashi Takafumi ◽  
Umemura Sanae ◽  
Nakagawa Takeshi
Keyword(s):  
Mathematical Model
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