Engineering Examples
Natural language prompts for engineering simulations and analysis.
Structural Engineering
Analyze a truss structure and find member forces
Compute the deflection of a cantilever beam under distributed load
Find the natural frequencies of a multi-story building
Analyze stress concentration around a hole in a plate
Model buckling of a column with various end conditions
Compute the fatigue life of a component under cyclic loading
Analyze a frame structure using matrix stiffness method
Model soil-structure interaction for a foundation
Compute the dynamic response to earthquake loading
Analyze composite beam sections with different materials
Mechanical Engineering
Analyze heat transfer in a fin array
Model a four-bar linkage mechanism
Compute the critical speed of a rotating shaft
Analyze gear tooth stresses using Lewis equation
Model a cam-follower system and plot displacement curves
Compute thermal stresses in a bi-metallic strip
Analyze vibration isolation with damping
Model a hydraulic cylinder system
Compute bearing life under variable loading
Analyze a pressure vessel using thick-wall theory
Electrical Engineering
Analyze an RLC circuit's frequency response
Design a Butterworth lowpass filter with 1kHz cutoff
Compute the transfer function of an op-amp circuit
Model a three-phase power system
Analyze transmission line reflections
Design a PID controller and tune the gains
Compute the impedance matching network
Model a transformer with non-ideal parameters
Analyze EMI coupling between conductors
Design a switching power supply control loop
Control Systems
Design a state feedback controller for a double integrator
Compute the controllability and observability of a system
Design an LQR optimal controller
Implement a Kalman filter for state estimation
Analyze stability using Nyquist criterion
Design a lead-lag compensator for desired phase margin
Model a nonlinear system and linearize around equilibrium
Implement model predictive control
Design an observer-based controller
Analyze robustness using H-infinity methods
Signal Processing
Design an FIR filter using windowing method
Implement adaptive noise cancellation using LMS
Compute the spectrogram of a speech signal
Design a notch filter to remove 60Hz interference
Implement a phase-locked loop
Compute the cepstrum for echo detection
Design a multirate signal processing system
Implement blind source separation using ICA
Compute the Hilbert transform for envelope detection
Design a matched filter for radar detection
Communications
Simulate BPSK modulation and demodulation
Compute the bit error rate in AWGN channel
Implement a convolutional encoder and Viterbi decoder
Model multipath fading channel
Design an OFDM system with cyclic prefix
Compute channel capacity using Shannon's theorem
Implement MIMO precoding and detection
Simulate carrier and timing recovery
Design a spread spectrum system
Analyze intersymbol interference and equalization
Aerospace Engineering
Compute the orbital elements from position and velocity
Design a Hohmann transfer orbit between two planets
Model aircraft longitudinal dynamics
Analyze stability derivatives from wind tunnel data
Compute the glide range of an aircraft
Model rocket staging optimization
Analyze flutter of an aircraft wing
Compute re-entry heating for a spacecraft
Design an attitude control system using reaction wheels
Model atmospheric drag on a satellite
Chemical Engineering
Design a distillation column for binary separation
Model a plug flow reactor with reaction kinetics
Compute the minimum reflux ratio
Design a heat exchanger using LMTD method
Model a CSTR cascade with recycle
Analyze a flash drum separation
Design an absorption column for gas cleanup
Model membrane separation processes
Compute the pressure drop in a packed bed
Design a cooling tower with specified approach
Civil Engineering
Analyze groundwater flow using Darcy's law
Model flood routing through a reservoir
Compute the bearing capacity of a foundation
Analyze seepage under a dam
Design a gravity retaining wall
Model traffic flow using LWR equations
Compute settlement of a loaded foundation
Analyze slope stability using limit equilibrium
Design a stormwater detention basin
Model pollutant transport in a river
Biomedical Engineering
Model the action potential using Hodgkin-Huxley
Analyze ECG signals and detect R-peaks
Model drug pharmacokinetics with compartment models
Compute blood flow in a stenosed artery
Analyze gait using inverse dynamics
Model the respiratory system mechanics
Compute the acoustic impedance of tissue layers
Analyze EEG signals and extract frequency bands
Model glucose-insulin dynamics
Compute stress distribution in a hip implant
Robotics
Solve forward kinematics for a 6-DOF robot arm
Compute the Jacobian and analyze singularities
Implement inverse kinematics using numerical methods
Design a trajectory with smooth acceleration profiles
Model a mobile robot with differential drive
Implement SLAM using particle filter
Compute the dynamics using Lagrangian mechanics
Design an impedance controller for safe interaction
Model a quadrotor's dynamics and control
Implement path planning using RRT
Automotive Engineering
Model vehicle dynamics with tire slip
Analyze suspension response to road input
Compute the fuel consumption over a drive cycle
Model the powertrain with gearbox
Analyze brake thermal performance
Model aerodynamic forces on a vehicle body
Compute the NVH characteristics
Design a cruise control system
Model electric vehicle range estimation
Analyze crash dynamics and energy absorption