Introduction:
Truss-type cranes represent extensively used solutions in industry for the lifting of large components and structures
Problem data:
The given problem data includes a truss structure subjected to a force (F) of 155 kN, with a total length (L) of 1000 mm. The material properties comprise a Young’s modulus (E) of 206,000 MPa and a Poisson’s ratio (ν) of 0.3. The bars in the truss feature an H cross section, and their orientation ensures that the local axis z is always perpendicular to the global x-y plane. It’s important to note that one end of the structure is pinned, while the other end is free to slide horizontally. Additionally, the yielding stress (σ_y) for the material is specified as 300 MPa. These details set the foundation for the subsequent analysis and assessment of the truss structure under the given conditions.
Approach:
The simulation data for the truss structure involves modeling each bar as a distinct truss element. The system comprises 29 elements interconnected by 16 nodes, and each node has 2 degrees of freedom, corresponding to the rotational bar element. This configuration results in a total of 32 degrees of freedom for the entire structure. This approach facilitates the representation of the truss structure as a series of interconnected bar elements, enabling a comprehensive analysis of the system’s behavior under specified conditions.
Results:
The intriguing observation is that, despite employing identical models with the same number of nodes, elements, boundary conditions, and input forces, the simulation results exhibit similar Von-Mises stresses but not exact congruence. This discrepancy, even in a linear problem, suggests the possibility of errors during the simulation process. Notably, the variation in the numbering of nodes and elements between ABAQUS and ANSYS, where the highest stress is reported at node 12 in ABAQUS and node 11 in ANSYS, contributes to the observed differences. While these variations warrant scrutiny to identify and rectify potential mistakes, it is crucial to emphasize that, for linear problems, the expected outcome is exact solutions, highlighting the importance of meticulous verification and validation in the simulation process.
Similarly, the following code utilizes Direct Stiffness Method in MATLAB to analyze Truss Structures with bar elements:
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