Mata Kuliah AE5020 - 2026

Kode Mata KuliahAE5020 / 3 SKS
Penyelenggara236 - Teknik Dirgantara / FTMD
KategoriKuliah
Bahasa IndonesiaEnglish
Nama Mata KuliahMetode Elemen Hingga LanjutAdvanced Finite Element Method
Bahan Kajian
  1. Pendahuluan Metode Elemen Hingga - Permasalahan fisik - Hukum-hukum fisika - Persamaan pengendali - Teknik diskretisasi
  2. Elemen Pegas - Persamaan pegas - Penurunan matriks kekakuan
  3. Elastisitas Linear - Tegangan - Regangan - Energi regangan - Hukum Hooke
  4. Elemen Batang - Ekstensi formulasi pegas menuju elastisitas linear 1D - Penurunan matriks kekakuan
  5. Elemen Truss - Koordinat lokal dan global - Rangka batang 2D - Rangka batang ruang - Penurunan matriks kekakuan
  6. Elemen Balok - Teori balok Euler–Bernoulli - Fungsi perpindahan - Penurunan matriks kekakuan
  7. Elemen Rangka - Asumsi umum pada rangka - Penurunan matriks kekakuan
  8. Prinsip Variasional - Metode kesetimbangan - Prinsip kerja virtual - Prinsip energi potensial minimum
  9. Elemen Membran - Regangan bidang (plane strain) dan tegangan bidang (plane stress) - Elemen segitiga regangan konstan - Elemen segitiga regangan linear - Elemen segi empat bilinear - Penurunan matriks kekakuan
  10. Formulasi Isoparametrik - Elemen segi empat isoparametrik - Kuadratur Gauss - Fungsi bentuk orde tinggi - Penurunan matriks kekakuan
  11. Elemen Tiga Dimensi - Elemen tetrahedral - Elemen heksahedral - Penurunan matriks kekakuan
  12. Elemen Pelat dan Cangkang - Teori Kirchhoff–Love - Teori Mindlin–Reissner - Penurunan matriks kekakuan
  13. Analisis Dinamik - Analisis modal - Integrasi waktu eksplisit dan implisit
  1. Introduction to the Finite Element Method - Physical problems - Physical laws - Governing equations - Discretization techniques
  2. Spring Element - Spring equations - Derivation of the stiffness matrix
  3. Linear Elasticity - Stress - Strain - Strain energy - Hooke's Law
  4. Bar Element - Extension of spring formulation to 1D linear elasticity - Derivation of the stiffness matrix
  5. Truss Element - Local and global coordinates - 2D trusses (or Plane trusses) - Space trusses (or 3D trusses) - Derivation of the stiffness matrix
  6. Beam Element - Euler-Bernoulli beam theory - Displacement functions - Derivation of the stiffness matrix
  7. Frame Element - General assumptions for frames - Derivation of the stiffness matrix
  8. Variational Principles - Equilibrium methods - Principle of virtual work - Principle of minimum potential energy
  9. Membrane Elements - Plane strain and plane stress - Constant Strain Triangle (CST) element - Linear Strain Triangle (LST) element - Bilinear quadrilateral element - Derivation of the stiffness matrix
  10. Isoparametric Formulation - Isoparametric quadrilateral elements - Gauss quadrature - Higher-order shape functions - Derivation of the stiffness matrix
  11. Three-Dimensional Elements - Tetrahedral elements - Hexahedral elements - Derivation of the stiffness matrix
  12. Plate and Shell Elements - Kirchhoff-Love theory - Mindlin-Reissner theory - Derivation of the stiffness matrix
  13. Dynamic Analysis - Modal analysis - Explicit and implicit time integration
Capaian Pembelajaran Mata Kuliah (CPMK)
  1. Mahasiswa mampu menganalisis permasalahan fisik dan menerjemahkannya menjadi model numerik menggunakan metode elemen hingga yang sesuai dengan hukum dasar fisika yang berlaku.
  2. Mahasiswa mampu mengidentifikasi kondisi batas yang sesuai, memilih jenis elemen yang relevan, menyusun matriks kekakuan lokal elemen, menyusun matriks kekakuan global, memodifikasi matriks kekakuan global menggunakan nilai kondisi batas, dan membandingkan hasil simulasi FE terhadap solusi analitik.
  1. Students are able to analyze physical problems and translate them into numerical models using the finite element method in accordance with applicable fundamental physical laws.
  2. Students are able to identify appropriate boundary conditions, select relevant element types, assemble local element stiffness matrices, assemble the global stiffness matrix, apply boundary conditions to modify the global stiffness matrix, and compare FE simulation results against analytical solutions.
Metode PembelajaranTatap muka PraktikumFace-to-face Practicum (or Laboratory)
Modalitas PembelajaranLuring Sinkron Individu KelompokIn-person (Offline) Synchronous Individual Group
Jenis NilaiABCDE
Metode PenilaianUAS Tugas besar (programming) Pekerjaan rumahFinal Examination Term Project (Programming) Homework Assignments
Catatan Tambahan