g ddlmZddlmZddlmZddlmZmZm Z gdZ Gddeeddd gZ Gd d e Z Gd d e Z dZdZdS))ABC) namedtuple)BodyBase)VectorReferenceFramePoint)LoadBaseForceTorquec&eZdZdZdZdZeZeZdS)r z2Abstract base class for the various loading types.cVtd|jjd|jjd)Nz$unsupported operand type(s) for +: '' and '' TypeError __class____name__selfothers Y/var/www/html/ai-engine/env/lib/python3.11/site-packages/sympy/physics/mechanics/loads.py__add__zLoadBase.__add__ B8 N388!O488899 9cVtd|jjd|jjd)Nz$unsupported operand type(s) for *: 'rrrrs r__mul__zLoadBase.__mul__rrN)r __module__ __qualname____doc__rr__radd____rmul__rrr r s><<999 999 HHHHrr locationvectorcTeZdZdZfdZdZedZedZxZ S)r a+Force acting upon a point. Explanation =========== A force is a vector that is bound to a line of action. This class stores both a point, which lies on the line of action, and the vector. A tuple can also be used, with the location as the first entry and the vector as second entry. Examples ======== A force of magnitude 2 along N.x acting on a point Po can be created as follows: >>> from sympy.physics.mechanics import Point, ReferenceFrame, Force >>> N = ReferenceFrame('N') >>> Po = Point('Po') >>> Force(Po, 2 * N.x) (Po, 2*N.x) If a body is supplied, then the center of mass of that body is used. >>> from sympy.physics.mechanics import Particle >>> P = Particle('P', point=Po) >>> Force(P, 2 * N.x) (Po, 2*N.x) ct|tr|j}t|tst dt|t st dt |||S)Nz!Force location should be a Point.z Force vector should be a Vector.) isinstancer masscenterrrrsuper__new__)clspointforcers rr*z Force.__new__:s{ eX & & %$E%'' A?@@ @%(( @>?? ?wwsE5111rc@|jjd|jd|jdS)Nz(point=z, force=))rrr,r-rs r__repr__zForce.__repr__Cs;>*''4:''''' (rc|jSNr#r0s rr,z Force.pointG }rc|jSr3r$r0s rr-z Force.forceK {r) rrrrr*r1propertyr,r- __classcell__rs@rr r s>22222(((XXrr cTeZdZdZfdZdZedZedZxZ S)r aTorque acting upon a frame. Explanation =========== A torque is a free vector that is acting on a reference frame, which is associated with a rigid body. This class stores both the frame and the vector. A tuple can also be used, with the location as the first item and the vector as second item. Examples ======== A torque of magnitude 2 about N.x acting on a frame N can be created as follows: >>> from sympy.physics.mechanics import ReferenceFrame, Torque >>> N = ReferenceFrame('N') >>> Torque(N, 2 * N.x) (N, 2*N.x) If a body is supplied, then the frame fixed to that body is used. >>> from sympy.physics.mechanics import RigidBody >>> rb = RigidBody('rb', frame=N) >>> Torque(rb, 2 * N.x) (N, 2*N.x) ct|tr|j}t|tst dt|t st dt |||S)Nz+Torque location should be a ReferenceFrame.z!Torque vector should be a Vector.)r'rframerrrr)r*)r+r>torquers rr*zTorque.__new__osz eX & & KE%00 KIJJ J&&)) A?@@ @wwsE6222rc@|jjd|jd|jdS)Nz(frame=z , torque=r/)rrr>r?r0s rr1zTorque.__repr__xs;>*))4:))+))) *rc|jSr3r4r0s rr>z Torque.frame|r5rc|jSr3r7r0s rr?z Torque.torquer8r) rrrrr*r1r9r>r?r:r;s@rr r Ps<33333***XXrr cg}|D]f}t|tstt|d|t |j|j|zg|S)a Returns a list of gravity forces given the acceleration due to gravity and any number of particles or rigidbodies. Example ======= >>> from sympy.physics.mechanics import ReferenceFrame, Particle, RigidBody >>> from sympy.physics.mechanics.loads import gravity >>> from sympy import symbols >>> N = ReferenceFrame('N') >>> g = symbols('g') >>> P = Particle('P') >>> B = RigidBody('B') >>> gravity(g*N.y, P, B) [(P_masscenter, P_mass*g*N.y), (B_masscenter, B_mass*g*N.y)] z is not a body type)r'rrtypeappendr r(mass) accelerationbodies gravity_forcebodys rgravityrKsz*MOO$)) @tDzz>>>?? ?U4?DI 4LMMNNNN rct|tr|St|trt|dkrt d|dt|dt rt |d|dSt|dtrt|d|dSt d|ddtdt|d ) zBHelper function to parse loads and convert tuples to load objects.zLoad z should have a length of 2.rz'Load not recognized. The load location z. should either be a Point or a ReferenceFrame.z Load type zA not recognized as a load. It should be a Force, Torque or tuple.) r'r tuplelen ValueErrorrr rr rrD)loads r _parse_loadrSs$!! P D% P t99>>FTFFFGG G d1gu % % Pa$q'** * Q 0 0 P$q'47++ +OtAwOOOPP P ;d;;; < <rYs""""""666666>>>>>>>>>> ) ) )sJJzJ+ABB"33333H333l22222X222j:<<<<