Specialists in Robotics and Motion
Cordelia location: 707/688-6247 -- Danville
location: 925/735-0654
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We created mathematical models of all the relevant mechanical and
electrical components for virtually all motion applications.
Based upon these models and your motion requirements we will compute
all the parameters you need to build your system.
Our software is proprietary. No one else has it, and no
one else can do what we do with the same accuracy, speed. and
completeness. |
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We perform this service for free because we are in the motion
business, and hope you will buy from us. However, our service
to you will be the same whether you intend to buy from us or from
our competitors. We believe that building relationships
eventually pays off. This service is available only to businesses
located in northern California and western Nevada, USA. |
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WE CAN STEP IN AT ANY STAGE OF YOUR PROJECT
If you are just starting a new project and dont even know what
type of motor or drive system you will be using we will help you
along the way with each step of your design.
If you are at the end of your design, you can use our service as a
"second opinion" to catch any illusive design glitches that could bite
you later. We can also help troubleshoot problems with existing
systems.
If, on the other hand, all you want to do is to solve for a
single torque or size a motor for a simple continuous-velocity
application, we will help. |
We dont ask you for a lot of data if it isnt necessary.
You provide only the information needed to get the answers you want.

Lead Screw Drive |
Our service can be particularly useful if you have a very complex
positioning application. For example you may have a counterweight
or spring compensation, and operating on an incline. Or, you may
need to know the answers to some difficult questions such as:
How long can I expect my gearbox and lead screw to last?
MECHANICAL CONFIGURATIONS
Your application will almost certainly be describable by one of these
models. Sometimes the connection isnt obvious. For example, turning a
camera on a tripod is an example of a tangential drive.
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Linear Motor Drive |

Tangential Drive
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CALCULATIONS RELATED TO MECHANICAL CONFIGURATION
Inertias:
For linear motor systems, mass is computed. Otherwise, rotational
inertias are computed for all pertinent components. We compute primary
inertias, reflected inertias for all components buffered by a gearbox or lead
screw, and load-to-rotor inertia ratio.
Friction:
All three types of friction are considered:
Dragging - Dependent on load and incline
Rubbing - Not dependent on load or incline
Internal - Torque measured at the motor shaft
Lead screw limits:
Critical speed, above which the screw will whip
Maximum force the screw can drive without buckling
Error caused by the combination of lead error and nut rotation error
Error caused by plastic deformation of the nut and screw
Total error:
Error due to inaccuracies in either a linear scale or rotary encoder
Backlash caused by: lead screw nut, gears, belt in a tangential drive
Belt compliance in a tangential drive
MOTION IS DESCRIBED AS VELOCITY/TIME PROFILES
Motion profiles:
- Constant velocity
- 1/3, 1/3, 1/3 trapezoidal
- Custom trapezoidal
- Triangular
- Fastest possible
- Minimum motor power
- Minimum peak torque or force
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Calculations are applied to both forward and backward
directions and to both stepper motors and servos.
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PROFILE CALCULATION RESULTS
Limits:
We compute the limits imposed by the components you
select, then compute the performance safety margins to those limits. Limiting
factors considered are:
- Torque limits imposed by amplifier current, motor and gearbox specifications,
and lead screw maximum thrust.
- Speed limits imposed by amplifier voltage, motor and gearbox specifications,
and lead screw critical speed.
- Dynamic limits caused by back EMF effects on voltage and current.
Profile characteristics:
Acceleration, slew speed, and deceleration characteristics are provided including
times and distances for travel during each leg of the trajectory.
Torque (or force): We provide average and
instantaneous values at
all relevant points in the profile. We include detail on how much
torque must be applied to overcome the individual and combined effects of the following:
Acceleration, Deceleration,
Friction, Spring force, Counterweight,
Incline, Unidirectional force
Power and temperature rise:
We compute average and instantaneous power usage for both
motor and amplifier. If you have a dwell time in your duty cycle, we compute
the power results both with and without the dwell so that you can optimize your
design. Motor and amplifier efficiencies are included along with the
temperature rise inside the motor.
Lifetime:
For gearboxes and lead screws you select, we compute the
life expectancy under the profile you specify.
Solutions for counterweight and spring compensation:
A counterweight offers a simple and popular way to compensate
for gravity in inclined applications, but it slows the system down and limits
acceleration. Spring compensation overcomes these problems if your travel
distance is short. However, the addition of a spring makes the calculations
extremely complex. We make it simple.
Automation Techniques: Cordelia:
707/688-6247 -- Danville office: 925/735-0654