VM-WB-MECH-053

VM-WB-MECH-053
Simple Pendulum with Simple Harmonic Motion (SHM)

Overview

Reference: Any Basic Kinematics Book
Solver(s):

Ansys Mechanical

Analysis Type(s): Rigid Dynamic Analysis
Element Type(s): Multipoint Constraint Element

Test Case

A simple pendulum as shown in Figure 69: Schematic has a SHM motion about its hinged point given by the following equation:

θ = 1.571*sin (0.5235*t) rad

The hinge point coordinates are:

  1. Hinge point = (0, 0, -35.56) mm

Find the relative angular acceleration of pendulum after t = 3s.

Figure 69: Schematic

Schematic

Material PropertiesGeometric PropertiesLoading
E = 2000000 MPa
ν = 0.3
Hinge point = (0, 0, -35.56) mm
Rotation θ = 1.571*sin (0.5235*t) rad

Analysis

The pendulum is having SHM motion in X-Z plane about the hinge.

Angular acceleration of pendulum:

Results Comparison

ResultTargetMechanical [1]Error (%)
Relative angular acceleration of pendulum after t = 3s (rad/s2)-0.433-0.43054-0.568

  1. To compare this result to that obtained using explicit dynamics, see VM-EXD-MECH-007.