Linear delta systems with additional degrees of freedom and related methods

1. A linear delta system, comprising:

a frame;

rails secured to the frame;

linear actuators, each linear actuator coupled to a respective rail and configured to translate along a longitudinal length thereof;

pairs of parallel rods each operably coupled to a respective linear actuator;

a platform coupled to a longitudinal end of each of the pairs of parallel rods opposite the respective linear actuator;

an object movably coupled to the platform; and

at least one degree of freedom imparting assembly, comprising:

a profiled rod extending in a direction parallel to the rails;

a drive unit configured to rotate the profiled rod and disposed on the frame of the linear delta system, wherein the at least one degree of freedom imparting assembly is configured to impart a degree of freedom to the object;

a slidable-engagement member coupled to the profiled rod and slidable along a longitudinal length of the profiled rod;

a first receiving-engagement member operably engaged with the slidable-engagement member;

a first joint assembly connected to the first receiving-engagement member;

a rod secured to the first receiving-engagement member on a first longitudinal end thereof and secured to a second joint assembly on a second opposite longitudinal end thereof;

an imparting-engagement member connected to the second joint assembly; and

a second receiving-engagement member operably engaged with the imparting-engagement member and the object movably coupled to the platform.

2. The linear delta system of claim 1 , wherein the slidable-engagement member comprises a beveled gear having a central aperture extending therethrough, wherein the profiled rod extends through the central aperture.

3. The linear delta system of claim 1 , wherein each of the slidable-engagement member, the first receiving-engagement member, the imparting-engagement member, and the second receiving-engagement member comprises a beveled gear portion.

4. The linear delta system of claim 1 , wherein each of the first joint assembly and the second joint assembly comprises a universal joint.

5. The linear delta system of claim 1 , wherein each pair of the pairs of parallel rods is connected to a respective linear actuator via spherical or universal joints.

6. The linear delta system of claim 5 , wherein the first joint assembly of the at least one degree of freedom imparting assembly shares a common horizontal axis with the spherical or universal joints of a respective pair of parallel rods connecting the pair of parallel rods to a respective linear actuator.

7. The linear delta system of claim 1 , wherein the first receiving-engagement member is at least partially disposed within a respective linear actuator, and wherein the rod of the at least one degree of freedom imparting assembly is parallel to and extends between a respective pair of parallel rods.

8. The linear delta system of claim 1 , wherein the at least one degree of freedom imparting assembly comprises a plurality of degree of freedom imparting assemblies, each rail having at least one respective degree of freedom imparting assembly.

9. A linear delta system, comprising:

linear actuators, each linear actuator coupled to and configured to translate along a longitudinal length of a respective rail;

a platform;

pairs of parallel rods extending between and each pair operably coupled to a respective linear actuator and the platform; and

at least one degree of freedom imparting assembly, comprising:

a profiled rod extending in a direction parallel to the rails;

a drive unit configured to rotate the profiled rod, wherein the at least one degree of freedom imparting assembly is configured to impart a degree of freedom to an object;

a slidable-engagement member coupled to the profiled rod and slidable along a longitudinal length of the profiled rod;

a first receiving-engagement member operably engaged with the slidable-engagement member;

a first joint assembly connected to the first receiving-engagement member;

a rod secured to the first receiving-engagement member on a first longitudinal end thereof and secured to a second joint assembly on a second opposite longitudinal end thereof;

an imparting-engagement member connected to the second joint assembly; and

a second receiving-engagement member operably engaged with the imparting-engagement member and the object movably coupled to the platform.

10. A linear delta system, comprising:

a platform;

pairs of parallel rods, each pair operably coupled to a respective side of the platform; and

at least one degree of freedom imparting assembly, comprising:

a profiled rod extending in a direction parallel to rails;

a drive unit configured to rotate the profiled rod, wherein the at least one degree of freedom imparting assembly is configured to impart a degree of freedom to an object;

a slidable-engagement member coupled to the profiled rod and slidable along a longitudinal length of the profiled rod;

a first receiving-engagement member operably engaged with the slidable-engagement member;

a first joint assembly connected to the first receiving-engagement member;

a rod secured to the first receiving-engagement member on a first longitudinal end thereof and secured to a second joint assembly on a second opposite longitudinal end thereof;

an imparting-engagement member connected to the second joint assembly; and

a second receiving-engagement member operably engaged with the imparting-engagement member and the object movably coupled to the platform.