LinkageDesigner Package Paclet Symbol

ReplaceVariables

ReplaceVariables[linkage, {v₁, v₂, .., v_n}->{eq₁, eq₂, ..eq_n}]
constraints independent or dependent variables {v₁, v₂, .., v_n} in linkage with equations {eq₁, eq₂, ..eq_n}. {v₁, v₂, .., v_n} are moved into $LDDerivedparametersB records. The function returns the modified LinkageData.

ReplaceVariables[linkage, {v₁, v₂, .., v_n}->{v₁→exp₁, v₁→exp₂, ..v_n→exp_n}]
constraints independent or dependent variables {v₁, v₂, .., v_n} in linkage with expression {exp₁, exp₂, ..exp_n}. {v₁, v₂, .., v_n} are moved into $LDDerivedParametersA records. The function returns the modified LinkageData.

MORE INFORMATION

Variables defined in either $LDDrivingVariables, $LDSimpleParameters, $LDDerivedParametersA or $LDDerivedParametersB record could be replaced with this function.

In case the new variable definitions contain new driving variables they can be appended to the $LDDrivingVariables record using the NewDrivingVariables option.

In case the new variable definition contains simple parameters they can be appended to the $LDSimpleParameters record using the NewSimpleParameters record.

The following options can be given:

NewSimpleParameters	{}	specifies new simple parameters to be appended to the linkage.
NewDrivingVariables	{}	specifies new driving variables to be to be appended to the linkage.
ParameterInitialGuess	Automatic	specifies initial guess values for the implicitly derived parameters.
JointLimitCheck	False	switches on or off the limit check in case of the driving variables.
AccuracyGoal	Automatic	AccuracyGoal is an option for various numerical operations which specifies how many effective digits of accuracy should be sought in the final result.
WorkingPrecision	MachinePrecision	WorkingPrecision is an option for various numerical operations which specifies how many digits of precision should be maintained in internal computations.

EXAMPLES

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Basic Examples (1)

Load the LinkageDesigner package

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Load the predefined crank-slider mechanism

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Retrieve the loop closing equations from the $LDDerivedParametersB record and assign to eq variable

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The loop closing equations expresses q2 and q3 derived parameters. If the equations are solved symbolically these variables could be calculated without the need of using root finding functions.

From the second equation q3 could be easily expressed q3->-(q1+q2). Using this fact the q2 could be calculated with PatternSolve function.

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